Greatest Common Factor of 6925/29, 8771/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6925/29, 8771/492

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 6925/29,8771/492

Given fractions are 6925/29,8771/492

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 6925,8771

Greatest Common Factor of Numerators i.e. GCF of 6925,8771 is 1 .

LCM of Denominators means LCM of 29,492 as per the given fractions.

LCM of 29,492 is 14268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6925,8771

GCF of Fractions 6925/29,8771/492 is 1/14268

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

Greatest Common Factor of 6925,8771 By Matching Biggest Common Factor Method

Greatest Common Factor of 6925,8771 By Matching Biggest Common Factor Method

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1,5,25,277,1385,6925

Factors of 8771

List of positive integer factors of 8771 that divides 8771 without a remainder.

1,7,49,179,1253,8771

Greatest Common Factor

We found the factors 6925,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 6925,8771 is 1.

Lets's calculate LCM of 29,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 14268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14268

Therefore, the GCF of Fractions 6925/29,8771/492 is 1/14268

Least Common Multiple of 29,492 with GCF Formula

Least Common Multiple of 29,492 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 29,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,492) = 1

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

GCF(29,492) x common factors =1 x 1 = 1

LCM(29,492) = ( 29 × 492 ) / 1

LCM(29,492) = 14268 / 1

LCM(29,492) = 14268


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 6925/29, 8771/492

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 6925/29, 8771/492?

Answer: GCF of Numerators as per given numbers 6925/29, 8771/492 is

GCF of Numerators i.e. for 6925,8771 is 1

LCM of denominators i.e. for 29,492 is 14268.

Thus, GCF of Fractions is 1/14268.Finally, GCF of Fractions for 6925/29, 8771/492 is 1/14268.