Greatest Common Factor of 6425/687, 9645/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6425/687, 9645/108

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 6425/687,9645/108

Given fractions are 6425/687,9645/108

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 6425,9645

Greatest Common Factor of Numerators i.e. GCF of 6425,9645 is 5 .

LCM of Denominators means LCM of 687,108 as per the given fractions.

LCM of 687,108 is 24732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6425,9645

GCF of Fractions 6425/687,9645/108 is 5/24732

5 6425, 9645
1285, 1929

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6425,9645 By Matching Biggest Common Factor Method

Greatest Common Factor of 6425,9645 By Matching Biggest Common Factor Method

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1,3,5,15,643,1929,3215,9645

Greatest Common Factor

We found the factors 6425,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 6425,9645 is 5.

Lets's calculate LCM of 687,108

3 687, 108
229, 36

∴ So the LCM of the given numbers is 3 x 229 x 36 = 24732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24732

Therefore, the GCF of Fractions 6425/687,9645/108 is 5/24732

Least Common Multiple of 687,108 with GCF Formula

Least Common Multiple of 687,108 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 687,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,108) = 3

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

GCF(687,108) x common factors =3 x 1 = 3

LCM(687,108) = ( 687 × 108 ) / 3

LCM(687,108) = 74196 / 3

LCM(687,108) = 24732


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 6425/687, 9645/108

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 6425/687, 9645/108?

Answer: GCF of Numerators as per given numbers 6425/687, 9645/108 is

GCF of Numerators i.e. for 6425,9645 is 5

LCM of denominators i.e. for 687,108 is 24732.

Thus, GCF of Fractions is 5/24732.Finally, GCF of Fractions for 6425/687, 9645/108 is 5/24732.