Greatest Common Factor of 3944/20, 2912/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3944/20, 2912/751

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3944/20,2912/751

Given fractions are 3944/20,2912/751

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3944,2912

Greatest Common Factor of Numerators i.e. GCF of 3944,2912 is 8 .

LCM of Denominators means LCM of 20,751 as per the given fractions.

LCM of 20,751 is 15020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3944,2912

GCF of Fractions 3944/20,2912/751 is 8/15020

2 3944, 2912
2 1972, 1456
2 986, 728
493, 364

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3944,2912 By Matching Biggest Common Factor Method

Greatest Common Factor of 3944,2912 By Matching Biggest Common Factor Method

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 3944,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 3944,2912 is 8.

Lets's calculate LCM of 20,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 15020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15020

Therefore, the GCF of Fractions 3944/20,2912/751 is 8/15020

Least Common Multiple of 20,751 with GCF Formula

Least Common Multiple of 20,751 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 20,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,751) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(20,751) x common factors =1 x 1 = 1

LCM(20,751) = ( 20 × 751 ) / 1

LCM(20,751) = 15020 / 1

LCM(20,751) = 15020


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3944/20, 2912/751

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3944/20, 2912/751?

Answer: GCF of Numerators as per given numbers 3944/20, 2912/751 is

GCF of Numerators i.e. for 3944,2912 is 8

LCM of denominators i.e. for 20,751 is 15020.

Thus, GCF of Fractions is 8/15020.Finally, GCF of Fractions for 3944/20, 2912/751 is 8/15020.