Greatest Common Factor of 7144/273, 9079/2549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7144/273, 9079/2549

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 7144/273,9079/2549

Given fractions are 7144/273,9079/2549

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 7144,9079

Greatest Common Factor of Numerators i.e. GCF of 7144,9079 is 1 .

LCM of Denominators means LCM of 273,2549 as per the given fractions.

LCM of 273,2549 is 695877 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7144,9079

GCF of Fractions 7144/273,9079/2549 is 1/695877

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

Greatest Common Factor of 7144,9079 By Matching Biggest Common Factor Method

Greatest Common Factor of 7144,9079 By Matching Biggest Common Factor Method

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors 7144,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 7144,9079 is 1.

Lets's calculate LCM of 273,2549

Given numbers has no common factors except 1. So, there LCM is their product i.e 695877

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695877

Therefore, the GCF of Fractions 7144/273,9079/2549 is 1/695877

Least Common Multiple of 273,2549 with GCF Formula

Least Common Multiple of 273,2549 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 273,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,2549) = 1

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

GCF(273,2549) x common factors =1 x 1 = 1

LCM(273,2549) = ( 273 × 2549 ) / 1

LCM(273,2549) = 695877 / 1

LCM(273,2549) = 695877


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 7144/273, 9079/2549

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 7144/273, 9079/2549?

Answer: GCF of Numerators as per given numbers 7144/273, 9079/2549 is

GCF of Numerators i.e. for 7144,9079 is 1

LCM of denominators i.e. for 273,2549 is 695877.

Thus, GCF of Fractions is 1/695877.Finally, GCF of Fractions for 7144/273, 9079/2549 is 1/695877.