Greatest Common Factor of 9051/79, 2975/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9051/79, 2975/144

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 9051/79,2975/144

Given fractions are 9051/79,2975/144

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 9051,2975

Greatest Common Factor of Numerators i.e. GCF of 9051,2975 is 7 .

LCM of Denominators means LCM of 79,144 as per the given fractions.

LCM of 79,144 is 11376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9051,2975

GCF of Fractions 9051/79,2975/144 is 7/11376

7 9051, 2975
1293, 425

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9051,2975 By Matching Biggest Common Factor Method

Greatest Common Factor of 9051,2975 By Matching Biggest Common Factor Method

Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1,3,7,21,431,1293,3017,9051

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1,5,7,17,25,35,85,119,175,425,595,2975

Greatest Common Factor

We found the factors 9051,2975 . The biggest common factor number is the GCF number.
So the greatest common factor 9051,2975 is 7.

Lets's calculate LCM of 79,144

Given numbers has no common factors except 1. So, there LCM is their product i.e 11376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11376

Therefore, the GCF of Fractions 9051/79,2975/144 is 7/11376

Least Common Multiple of 79,144 with GCF Formula

Least Common Multiple of 79,144 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 79,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,144) = 1

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

GCF(79,144) x common factors =1 x 1 = 1

LCM(79,144) = ( 79 × 144 ) / 1

LCM(79,144) = 11376 / 1

LCM(79,144) = 11376


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 9051/79, 2975/144

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 9051/79, 2975/144?

Answer: GCF of Numerators as per given numbers 9051/79, 2975/144 is

GCF of Numerators i.e. for 9051,2975 is 7

LCM of denominators i.e. for 79,144 is 11376.

Thus, GCF of Fractions is 7/11376.Finally, GCF of Fractions for 9051/79, 2975/144 is 7/11376.