Greatest Common Factor of 6137/926, 7328/3674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6137/926, 7328/3674

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 6137/926,7328/3674

Given fractions are 6137/926,7328/3674

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 6137,7328

Greatest Common Factor of Numerators i.e. GCF of 6137,7328 is 1 .

LCM of Denominators means LCM of 926,3674 as per the given fractions.

LCM of 926,3674 is 1701062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6137,7328

GCF of Fractions 6137/926,7328/3674 is 1/1701062

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

Greatest Common Factor of 6137,7328 By Matching Biggest Common Factor Method

Greatest Common Factor of 6137,7328 By Matching Biggest Common Factor Method

Factors of 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1,17,19,323,361,6137

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Greatest Common Factor

We found the factors 6137,7328 . The biggest common factor number is the GCF number.
So the greatest common factor 6137,7328 is 1.

Lets's calculate LCM of 926,3674

2 926, 3674
463, 1837

∴ So the LCM of the given numbers is 2 x 463 x 1837 = 1701062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1701062

Therefore, the GCF of Fractions 6137/926,7328/3674 is 1/1701062

Least Common Multiple of 926,3674 with GCF Formula

Least Common Multiple of 926,3674 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 926,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,3674) = 2

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

GCF(926,3674) x common factors =2 x 1 = 2

LCM(926,3674) = ( 926 × 3674 ) / 2

LCM(926,3674) = 3402124 / 2

LCM(926,3674) = 1701062


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 6137/926, 7328/3674

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 6137/926, 7328/3674?

Answer: GCF of Numerators as per given numbers 6137/926, 7328/3674 is

GCF of Numerators i.e. for 6137,7328 is 1

LCM of denominators i.e. for 926,3674 is 1701062.

Thus, GCF of Fractions is 1/1701062.Finally, GCF of Fractions for 6137/926, 7328/3674 is 1/1701062.