Greatest Common Factor of 121/75, 125/36, 962/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 121/75, 125/36, 962/538

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 121/75,125/36,962/538

Given fractions are 121/75,125/36,962/538

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 121,125,962

Greatest Common Factor of Numerators i.e. GCF of 121,125,962 is 1 .

LCM of Denominators means LCM of 75,36,538 as per the given fractions.

LCM of 75,36,538 is 242100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 121,125,962

GCF of Fractions 121/75,125/36,962/538 is 1/242100

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

Greatest Common Factor of 121,125,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,125,962 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 121,125,962 . The biggest common factor number is the GCF number.
So the greatest common factor 121,125,962 is 1.

Lets's calculate LCM of 75,36,538

2 75, 36, 538
3 75, 18, 269
25, 6, 269

∴ So the LCM of the given numbers is 2 x 3 x 25 x 6 x 269 = 242100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242100

Therefore, the GCF of Fractions 121/75,125/36,962/538 is 1/242100

Least Common Multiple of 75,36,538 with GCF Formula

Least Common Multiple of 75,36,538 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 75,36,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,36,538) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,36,538) x common factors =1 x 6 = 6

LCM(75,36,538) = ( 75 × 36 × 538 ) / 6

LCM(75,36,538) = 1452600 / 6

LCM(75,36,538) = 242100


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 121/75, 125/36, 962/538

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 121/75, 125/36, 962/538?

Answer: GCF of Numerators as per given numbers 121/75, 125/36, 962/538 is

GCF of Numerators i.e. for 121,125,962 is 1

LCM of denominators i.e. for 75,36,538 is 242100.

Thus, GCF of Fractions is 1/242100.Finally, GCF of Fractions for 121/75, 125/36, 962/538 is 1/242100.