How do you find the GCF of a problem

List the prime factors of each number.Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.Multiply all the circled numbers. The result is the GCF.

What is GCF in math example?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4.

How do you find the greatest common factor of two numbers?

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

What is an example of a GCF word problem?

Six interesting greatest common factor word problems you can give to your students to tease them. A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones.

What is GCF and LCM example?

For example, the LCM of 5 and 6 can be found by simply listing the multiples of 5 and 6, and then identifying the lowest multiple shared by both numbers. … For example, the GCF of 40 and 32 can be found by listing the factors of each number. 40: 1,2,4,5,8,10,20,40. 32: 1,2,4,8,16,32. 8 is the GCF.

What is the easiest way to find GCF and LCM?

1. Step 1) Find the GCF for the two numbers. For 18 and 30, GCF is 6.
2. Step 2) Divide that GCF into either number; it doesn’t matter which one you choose, so choose the one that’s easier to divide. Choose 18. …
3. Step 3) Take that answer and multiply it by the other number. …
4. Step 4) Celebrate …

How do you solve HCF LCM word problems?

1. Therefore, least common multiple (L.C.M.) of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260.
2. Therefore, the required number = 1260 – 19 = 1241.
3. Highest common factor (H.C.F.) of 90 and 162 = 18.
4. Relationship between H.C.F. and L.C.M.
5. Worksheet on H.C.F. and L.C.M.

How do you find the HCF of 3 numbers using prime factorization?

1. Find the prime factors of each of the given number.
2. Next, we identify the common prime factors of the given numbers.
3. We then multiply the common factors. The product of these common factors is the HCF of the given numbers.

How do you find the greatest common factor of three numbers?

To find the greatest common factor (GCF) between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF!