Greatest Common Factor of 7837/108, 6396/9269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7837/108, 6396/9269

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 7837/108,6396/9269

Given fractions are 7837/108,6396/9269

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 7837,6396

Greatest Common Factor of Numerators i.e. GCF of 7837,6396 is 1 .

LCM of Denominators means LCM of 108,9269 as per the given fractions.

LCM of 108,9269 is 1001052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7837,6396

GCF of Fractions 7837/108,6396/9269 is 1/1001052

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

Greatest Common Factor of 7837,6396 By Matching Biggest Common Factor Method

Greatest Common Factor of 7837,6396 By Matching Biggest Common Factor Method

Factors of 7837

List of positive integer factors of 7837 that divides 7837 without a remainder.

1,17,461,7837

Factors of 6396

List of positive integer factors of 6396 that divides 6396 without a remainder.

1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396

Greatest Common Factor

We found the factors 7837,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 7837,6396 is 1.

Lets's calculate LCM of 108,9269

Given numbers has no common factors except 1. So, there LCM is their product i.e 1001052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001052

Therefore, the GCF of Fractions 7837/108,6396/9269 is 1/1001052

Least Common Multiple of 108,9269 with GCF Formula

Least Common Multiple of 108,9269 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 108,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,9269) = 1

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

GCF(108,9269) x common factors =1 x 1 = 1

LCM(108,9269) = ( 108 × 9269 ) / 1

LCM(108,9269) = 1001052 / 1

LCM(108,9269) = 1001052


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 7837/108, 6396/9269

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 7837/108, 6396/9269?

Answer: GCF of Numerators as per given numbers 7837/108, 6396/9269 is

GCF of Numerators i.e. for 7837,6396 is 1

LCM of denominators i.e. for 108,9269 is 1001052.

Thus, GCF of Fractions is 1/1001052.Finally, GCF of Fractions for 7837/108, 6396/9269 is 1/1001052.