Greatest Common Factor of 9051/538, 7135/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9051/538, 7135/244

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 9051/538,7135/244

Given fractions are 9051/538,7135/244

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 9051,7135

Greatest Common Factor of Numerators i.e. GCF of 9051,7135 is 1 .

LCM of Denominators means LCM of 538,244 as per the given fractions.

LCM of 538,244 is 65636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9051,7135

GCF of Fractions 9051/538,7135/244 is 1/65636

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

Greatest Common Factor of 9051,7135 By Matching Biggest Common Factor Method

Greatest Common Factor of 9051,7135 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 7135

List of positive integer factors of 7135 that divides 7135 without a remainder.

1,5,1427,7135

Greatest Common Factor

We found the factors 9051,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 9051,7135 is 1.

Lets's calculate LCM of 538,244

2 538, 244
269, 122

∴ So the LCM of the given numbers is 2 x 269 x 122 = 65636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65636

Therefore, the GCF of Fractions 9051/538,7135/244 is 1/65636

Least Common Multiple of 538,244 with GCF Formula

Least Common Multiple of 538,244 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 538,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,244) = 2

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

GCF(538,244) x common factors =2 x 1 = 2

LCM(538,244) = ( 538 × 244 ) / 2

LCM(538,244) = 131272 / 2

LCM(538,244) = 65636


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 9051/538, 7135/244

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 9051/538, 7135/244?

Answer: GCF of Numerators as per given numbers 9051/538, 7135/244 is

GCF of Numerators i.e. for 9051,7135 is 1

LCM of denominators i.e. for 538,244 is 65636.

Thus, GCF of Fractions is 1/65636.Finally, GCF of Fractions for 9051/538, 7135/244 is 1/65636.