Greatest Common Factor of 6097/156, 8702/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6097/156, 8702/364

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 6097/156,8702/364

Given fractions are 6097/156,8702/364

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 6097,8702

Greatest Common Factor of Numerators i.e. GCF of 6097,8702 is 1 .

LCM of Denominators means LCM of 156,364 as per the given fractions.

LCM of 156,364 is 1092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6097,8702

GCF of Fractions 6097/156,8702/364 is 1/1092

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

Greatest Common Factor of 6097,8702 By Matching Biggest Common Factor Method

Greatest Common Factor of 6097,8702 By Matching Biggest Common Factor Method

Factors of 6097

List of positive integer factors of 6097 that divides 6097 without a remainder.

1,7,13,67,91,469,871,6097

Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1,2,19,38,229,458,4351,8702

Greatest Common Factor

We found the factors 6097,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 6097,8702 is 1.

Lets's calculate LCM of 156,364

2 156, 364
2 78, 182
13 39, 91
3, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 3 x 7 = 1092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092

Therefore, the GCF of Fractions 6097/156,8702/364 is 1/1092

Least Common Multiple of 156,364 with GCF Formula

Least Common Multiple of 156,364 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 156,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,364) = 52

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

GCF(156,364) x common factors =52 x 1 = 52

LCM(156,364) = ( 156 × 364 ) / 52

LCM(156,364) = 56784 / 52

LCM(156,364) = 1092


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 6097/156, 8702/364

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 6097/156, 8702/364?

Answer: GCF of Numerators as per given numbers 6097/156, 8702/364 is

GCF of Numerators i.e. for 6097,8702 is 1

LCM of denominators i.e. for 156,364 is 1092.

Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 6097/156, 8702/364 is 1/1092.