Greatest Common Factor of 6931/144, 2595/1996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6931/144, 2595/1996

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 6931/144,2595/1996

Given fractions are 6931/144,2595/1996

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 6931,2595

Greatest Common Factor of Numerators i.e. GCF of 6931,2595 is 1 .

LCM of Denominators means LCM of 144,1996 as per the given fractions.

LCM of 144,1996 is 71856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6931,2595

GCF of Fractions 6931/144,2595/1996 is 1/71856

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

Greatest Common Factor of 6931,2595 By Matching Biggest Common Factor Method

Greatest Common Factor of 6931,2595 By Matching Biggest Common Factor Method

Factors of 6931

List of positive integer factors of 6931 that divides 6931 without a remainder.

1,29,239,6931

Factors of 2595

List of positive integer factors of 2595 that divides 2595 without a remainder.

1,3,5,15,173,519,865,2595

Greatest Common Factor

We found the factors 6931,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 6931,2595 is 1.

Lets's calculate LCM of 144,1996

2 144, 1996
2 72, 998
36, 499

∴ So the LCM of the given numbers is 2 x 2 x 36 x 499 = 71856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71856

Therefore, the GCF of Fractions 6931/144,2595/1996 is 1/71856

Least Common Multiple of 144,1996 with GCF Formula

Least Common Multiple of 144,1996 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 144,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,1996) = 4

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

GCF(144,1996) x common factors =4 x 1 = 4

LCM(144,1996) = ( 144 × 1996 ) / 4

LCM(144,1996) = 287424 / 4

LCM(144,1996) = 71856


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 6931/144, 2595/1996

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 6931/144, 2595/1996?

Answer: GCF of Numerators as per given numbers 6931/144, 2595/1996 is

GCF of Numerators i.e. for 6931,2595 is 1

LCM of denominators i.e. for 144,1996 is 71856.

Thus, GCF of Fractions is 1/71856.Finally, GCF of Fractions for 6931/144, 2595/1996 is 1/71856.