Greatest Common Factor of 752/92, 656/6722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/92, 656/6722

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 752/92,656/6722

Given fractions are 752/92,656/6722

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 752,656

Greatest Common Factor of Numerators i.e. GCF of 752,656 is 16 .

LCM of Denominators means LCM of 92,6722 as per the given fractions.

LCM of 92,6722 is 309212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,656

GCF of Fractions 752/92,656/6722 is 16/309212

2 752, 656
2 376, 328
2 188, 164
2 94, 82
47, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 752,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,656 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 752,656 . The biggest common factor number is the GCF number.
So the greatest common factor 752,656 is 16.

Lets's calculate LCM of 92,6722

2 92, 6722
46, 3361

∴ So the LCM of the given numbers is 2 x 46 x 3361 = 309212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/309212

Therefore, the GCF of Fractions 752/92,656/6722 is 16/309212

Least Common Multiple of 92,6722 with GCF Formula

Least Common Multiple of 92,6722 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 92,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,6722) = 2

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

GCF(92,6722) x common factors =2 x 1 = 2

LCM(92,6722) = ( 92 × 6722 ) / 2

LCM(92,6722) = 618424 / 2

LCM(92,6722) = 309212


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 752/92, 656/6722

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 752/92, 656/6722?

Answer: GCF of Numerators as per given numbers 752/92, 656/6722 is

GCF of Numerators i.e. for 752,656 is 16

LCM of denominators i.e. for 92,6722 is 309212.

Thus, GCF of Fractions is 16/309212.Finally, GCF of Fractions for 752/92, 656/6722 is 16/309212.