Greatest Common Factor of 7179/159, 2451/7817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7179/159, 2451/7817

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 7179/159,2451/7817

Given fractions are 7179/159,2451/7817

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 7179,2451

Greatest Common Factor of Numerators i.e. GCF of 7179,2451 is 3 .

LCM of Denominators means LCM of 159,7817 as per the given fractions.

LCM of 159,7817 is 1242903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7179,2451

GCF of Fractions 7179/159,2451/7817 is 3/1242903

3 7179, 2451
2393, 817

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7179,2451 By Matching Biggest Common Factor Method

Greatest Common Factor of 7179,2451 By Matching Biggest Common Factor Method

Factors of 7179

List of positive integer factors of 7179 that divides 7179 without a remainder.

1,3,2393,7179

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

Greatest Common Factor

We found the factors 7179,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 7179,2451 is 3.

Lets's calculate LCM of 159,7817

Given numbers has no common factors except 1. So, there LCM is their product i.e 1242903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1242903

Therefore, the GCF of Fractions 7179/159,2451/7817 is 3/1242903

Least Common Multiple of 159,7817 with GCF Formula

Least Common Multiple of 159,7817 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 159,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,7817) = 1

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

GCF(159,7817) x common factors =1 x 1 = 1

LCM(159,7817) = ( 159 × 7817 ) / 1

LCM(159,7817) = 1242903 / 1

LCM(159,7817) = 1242903


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 7179/159, 2451/7817

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 7179/159, 2451/7817?

Answer: GCF of Numerators as per given numbers 7179/159, 2451/7817 is

GCF of Numerators i.e. for 7179,2451 is 3

LCM of denominators i.e. for 159,7817 is 1242903.

Thus, GCF of Fractions is 3/1242903.Finally, GCF of Fractions for 7179/159, 2451/7817 is 3/1242903.