Greatest Common Factor of 3131/765, 6858/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3131/765, 6858/621

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 3131/765,6858/621

Given fractions are 3131/765,6858/621

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 3131,6858

Greatest Common Factor of Numerators i.e. GCF of 3131,6858 is 1 .

LCM of Denominators means LCM of 765,621 as per the given fractions.

LCM of 765,621 is 52785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3131,6858

GCF of Fractions 3131/765,6858/621 is 1/52785

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

Greatest Common Factor of 3131,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 3131,6858 By Matching Biggest Common Factor Method

Factors of 3131

List of positive integer factors of 3131 that divides 3131 without a remainder.

1,31,101,3131

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 3131,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 3131,6858 is 1.

Lets's calculate LCM of 765,621

3 765, 621
3 255, 207
85, 69

∴ So the LCM of the given numbers is 3 x 3 x 85 x 69 = 52785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52785

Therefore, the GCF of Fractions 3131/765,6858/621 is 1/52785

Least Common Multiple of 765,621 with GCF Formula

Least Common Multiple of 765,621 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 765,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,621) = 9

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

GCF(765,621) x common factors =9 x 1 = 9

LCM(765,621) = ( 765 × 621 ) / 9

LCM(765,621) = 475065 / 9

LCM(765,621) = 52785


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 3131/765, 6858/621

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 3131/765, 6858/621?

Answer: GCF of Numerators as per given numbers 3131/765, 6858/621 is

GCF of Numerators i.e. for 3131,6858 is 1

LCM of denominators i.e. for 765,621 is 52785.

Thus, GCF of Fractions is 1/52785.Finally, GCF of Fractions for 3131/765, 6858/621 is 1/52785.