Read each question carefully and think about what the question is asking. Greatest common factor gcf and least common multiple. Factors are numbers that are divisible by a given number. The greatest common factor of 45 and 60 is 15, but the least common multiple is 180. Word problems involving highest common factor and lowest common multiple read each question carefully and think about what the question is asking. This is a 7 th grade exercise on finding the greatest common factor which kids can print out as a worksheet and practice with. The greatest common factor is also called the greatest common divisor gcd or the highest common factor hcf. This factors worksheet is great for practicing solving for the greatest common factor of number sets which are very important in working with fractions.
Free worksheets for the greatest common factor gfc and least. The secret to mental addition math tricks for fast calculations. Greatest common factor gcf and least common multiple lcm. Print out this worksheet on finding the greatest common factor and get more practice either as a math quiz or test at home andor in the classroom.
Learners can download this math worksheet and write their responses in the space provided. However, the greatest common factor of 18 and 24 is 6. Six interesting greatest common factor word problems you can give to your students to tease them. This readytoset use set of task cards focuses on word problems with greatest common factor and least common multiples. Word problems involving highest common factor and lowest common multiple. A cell phone company produces 40 defective phones out of every 5000 phones. At the gym, hillary swims every 6 days, runs every 4 days and cycles every 16 days. Greatest common factor and least common multiple worksheet complete all the problems.
When you find all the factors of two or more numbers, and you find some factors are the same common, the largest of those common factors is the greatest. Calculating greatest common factors of sets of two numbers. Through completing this practice sheet, kids get the essential practice they need putting these steps into action. Welcome to the calculating greatest common factors of sets of two numbers from 4 to 100 using prime factors a math worksheet from the number sense worksheets page at math. It may be printed, downloaded or saved and used in your classroom, home. The greatest common factor gcf of two or more nonzero number is the largest positive integer that divides the numbers without a remainder. Greatest common factorleast common multiple word problems 1. Oct 21, 2019 to find the greatest common factor of two or more numbers, make a list of all of the factors of each number. For example, for the number 10, the factors are 1, 2, 5, and 10, and for the number 21, the factors are 1, 3, 7, and 21. Find the gcf of each using the prime factorization of each whole number. Since i initially let students factor out any factor up to this point, i. Factors, common factors, greatest common factor notes. Student walk around activity small group table partner activity folder w.
What is the highest number of defective phones do the companies have in common. She wants to make bouquets with the same number of each color flower in each bouquet. Greatest common factor 3 math worksheet for kids with answer key. Find the highest common factor for each of the following. Greatest common factor 1 math worksheet for kids with answer key. This math worksheet gives your child practice finding factors and identifying the greatest common factor.
Finding factor pairs, mental math, multiplication tables. Usually in such exercises, students are asked to list the factors of two numbers and later examine the sequence to find out if there are any similar numbers in the sequence. Greatest common factor gcf and least common multiple lcm word problems grade 5 math word problems worksheet read and answer each question. Greatest common factor sample math practice problems the math problems below can be generated by, a math practice program for schools and individual families. Both alternatives to the term are abbreviated as gcf and hcf respectively. A large collection of gcf worksheets is meticulously drafted for students in grades 6 through 8. Greatest common factor definition of greatest common factor. Title card 20 task cards, consisting mostly of gcf and lcm word problems 3 constructed response items student answer sheets answer key suggested uses. Finding the greatest common factor, 7th grade math pdf. Math prealgebra factors and multiples greatest common factor. Then, find the greatest factor that is common to both numbers.
To find the greatest common factor of two or more numbers, make a list of all of the factors of each number. Create free printable worksheets for finding the greatest common factor gfc and least common multiple lcm of up to 6 numbers. The greatest common factor is also called the highest common factor. Factors worksheets greatest common factor worksheets. Factor trees may be used to find the gcf of difficult numbers. Download and print these gcf worksheets to find the gcf of two numbers, three numbers and more.
See below how you can print this worksheet about the greatest common factor. Math mammoth grade 6a and grade 6b worktexts comprise a complete math curriculum for the sixth grade mathematics studies, aligned to the common core standards. If she did all three activities today, in how many days will she do all three activities again on the same day. Free worksheets for the greatest common factor gfc and. Word problems involving greatest common factor and least. Greatest common factor word problems basic mathematics.
When there are variables in our problem we can first find the gcf of the num. Find the prime factors for each number draw a prime factor diagram remember numbers in the overlap hcf numbers in the whole diagram lcm 1. Greatest common factor worksheet basic mathematics. The resulting product is the greatest common factor. Below are six versions of our grade 6 math worksheet on finding the greatest common factor of 2 numbers within 250. This math worksheet was created on 20160823 and has been viewed 3 times this week and 244 times this month.
Find the greatest common factor of 2 or 3 integers. If youre seeing this message, it means were having trouble loading external resources on our website. Improve your math knowledge with free questions in greatest common factor and thousands of other math skills. Greatest common factor worksheet teachers pay teachers. Then, compare the list of factors to find the largest number that the two have in common. Factoring polynomials metropolitan community college. After we discuss their ideas about the gcf of the polynomial in question 7, i will give the students to practice factoring by taking out the greatest common factor using questions 810. Greatest common factor and least common multiple task cards includes. Greatest common factor word problems displaying top 8 worksheets found for this concept some of the worksheets for this concept are word problems involving greatest common factor and least, greatest common factor gcf and least common multiple, finding the greatest common factor of whole numbers, name class date gcf and lcm word problems. Hard finding the greatest common factor can be a tricky thing to learn, but this worksheet simplifies it into three steps. The greatest common factor of two or more numbers also called the greatest common factor or the highest common factor or the greatest common divisor is the largest number that gives an integer as a result when both numbers are divided by it. What is the greatest number of bouquets she can make. This part b covers the latter half of the 6th grade. Greatest common factor 21 practice and problem solving.
Print or download free pdf printable worksheet and teach students about greatest common factor. Using the greatest common factor and the distributive property to factor polynomials pg. In these lessons, we will learn how to find the gcf of two or more numbers. Finding the greatest common factor of whole numbers. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. Finding the greatest common factor gcf and least common multiple lcm. This problem can be solved using greatest common factor because we are cutting or dividing the strips of cloth into smaller pieces factor of 72 and 90 common and we are looking for the widest possible strips greatest. How can you tell if a word problem requires you to use. If you need to find the greatest common factor, or the least common multiple, of two numbers, it is useful first to find the prime factorizations of the numbers. Pdf printable worksheet for classroom and homework to practice math topic greatest common factor. Greatest common factor definition of greatest common. Gcf greatest common factor practice worksheet with answer key has a mixture of computation and a couple of word problems. Greatest common factorleast common multiple word problems.
Another cell phone company produces 30 defective phones out of every 6000 phones. If youre behind a web filter, please make sure that the domains. On a separate piece of paper show your working out, with the number of the question. Greatest common factor practice and problem solving. Factoring polynomials 1 first determine if a common monomial factor greatest common factor exists. Greatest common factor word problems six interesting greatest common factor word problems you can give to your students to tease them. The easiest way to calculate the gcf of two numbers is to list all the factors of those numbers and. Factor numbers to prime factors 0500 greatest common factor of 2 numbers 2100. The easiest way to calculate the gcf of two numbers is to list all the factors of those numbers and choose the ones they have in common. Gcf is also known as greatest common divisor gcd, highest common factor hcf, greatest common measure gcm or highest common divisor hcd. Great for practicing finding the greatest common factor, and assessing students knowledge of the skill. Finding the greatest common factor, 7th grade math pdf math.