Greatest Common Factor of 6410/726, 7570/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6410/726, 7570/364

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 6410/726,7570/364

Given fractions are 6410/726,7570/364

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 6410,7570

Greatest Common Factor of Numerators i.e. GCF of 6410,7570 is 10 .

LCM of Denominators means LCM of 726,364 as per the given fractions.

LCM of 726,364 is 132132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6410,7570

GCF of Fractions 6410/726,7570/364 is 10/132132

2 6410, 7570
5 3205, 3785
641, 757

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6410,7570 By Matching Biggest Common Factor Method

Greatest Common Factor of 6410,7570 By Matching Biggest Common Factor Method

Factors of 6410

List of positive integer factors of 6410 that divides 6410 without a remainder.

1,2,5,10,641,1282,3205,6410

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1,2,5,10,757,1514,3785,7570

Greatest Common Factor

We found the factors 6410,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 6410,7570 is 10.

Lets's calculate LCM of 726,364

2 726, 364
363, 182

∴ So the LCM of the given numbers is 2 x 363 x 182 = 132132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/132132

Therefore, the GCF of Fractions 6410/726,7570/364 is 10/132132

Least Common Multiple of 726,364 with GCF Formula

Least Common Multiple of 726,364 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 726,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,364) = 2

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

GCF(726,364) x common factors =2 x 1 = 2

LCM(726,364) = ( 726 × 364 ) / 2

LCM(726,364) = 264264 / 2

LCM(726,364) = 132132


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 6410/726, 7570/364

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 6410/726, 7570/364?

Answer: GCF of Numerators as per given numbers 6410/726, 7570/364 is

GCF of Numerators i.e. for 6410,7570 is 10

LCM of denominators i.e. for 726,364 is 132132.

Thus, GCF of Fractions is 10/132132.Finally, GCF of Fractions for 6410/726, 7570/364 is 10/132132.