Greatest Common Factor of 2912/96, 7037/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2912/96, 7037/628

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 2912/96,7037/628

Given fractions are 2912/96,7037/628

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 2912,7037

Greatest Common Factor of Numerators i.e. GCF of 2912,7037 is 1 .

LCM of Denominators means LCM of 96,628 as per the given fractions.

LCM of 96,628 is 15072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2912,7037

GCF of Fractions 2912/96,7037/628 is 1/15072

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2912,7037 By Matching Biggest Common Factor Method

Greatest Common Factor of 2912,7037 By Matching Biggest Common Factor Method

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

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1,31,227,7037

Greatest Common Factor

We found the factors 2912,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 2912,7037 is 1.

Lets's calculate LCM of 96,628

2 96, 628
2 48, 314
24, 157

∴ So the LCM of the given numbers is 2 x 2 x 24 x 157 = 15072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15072

Therefore, the GCF of Fractions 2912/96,7037/628 is 1/15072

Least Common Multiple of 96,628 with GCF Formula

Least Common Multiple of 96,628 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 96,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,628) = 4

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

GCF(96,628) x common factors =4 x 1 = 4

LCM(96,628) = ( 96 × 628 ) / 4

LCM(96,628) = 60288 / 4

LCM(96,628) = 15072


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 2912/96, 7037/628

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 2912/96, 7037/628?

Answer: GCF of Numerators as per given numbers 2912/96, 7037/628 is

GCF of Numerators i.e. for 2912,7037 is 1

LCM of denominators i.e. for 96,628 is 15072.

Thus, GCF of Fractions is 1/15072.Finally, GCF of Fractions for 2912/96, 7037/628 is 1/15072.