Greatest Common Factor of 7695/891, 6938/6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7695/891, 6938/6754

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 7695/891,6938/6754

Given fractions are 7695/891,6938/6754

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 7695,6938

Greatest Common Factor of Numerators i.e. GCF of 7695,6938 is 1 .

LCM of Denominators means LCM of 891,6754 as per the given fractions.

LCM of 891,6754 is 547074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7695,6938

GCF of Fractions 7695/891,6938/6754 is 1/547074

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

Greatest Common Factor of 7695,6938 By Matching Biggest Common Factor Method

Greatest Common Factor of 7695,6938 By Matching Biggest Common Factor Method

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1,2,3469,6938

Greatest Common Factor

We found the factors 7695,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 7695,6938 is 1.

Lets's calculate LCM of 891,6754

11 891, 6754
81, 614

∴ So the LCM of the given numbers is 11 x 81 x 614 = 547074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547074

Therefore, the GCF of Fractions 7695/891,6938/6754 is 1/547074

Least Common Multiple of 891,6754 with GCF Formula

Least Common Multiple of 891,6754 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 891,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,6754) = 11

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

GCF(891,6754) x common factors =11 x 1 = 11

LCM(891,6754) = ( 891 × 6754 ) / 11

LCM(891,6754) = 6017814 / 11

LCM(891,6754) = 547074


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 7695/891, 6938/6754

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 7695/891, 6938/6754?

Answer: GCF of Numerators as per given numbers 7695/891, 6938/6754 is

GCF of Numerators i.e. for 7695,6938 is 1

LCM of denominators i.e. for 891,6754 is 547074.

Thus, GCF of Fractions is 1/547074.Finally, GCF of Fractions for 7695/891, 6938/6754 is 1/547074.