Greatest Common Factor of 92/96, 61/52, 903/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/96, 61/52, 903/171

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 92/96,61/52,903/171

Given fractions are 92/96,61/52,903/171

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 92,61,903

Greatest Common Factor of Numerators i.e. GCF of 92,61,903 is 1 .

LCM of Denominators means LCM of 96,52,171 as per the given fractions.

LCM of 96,52,171 is 71136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,61,903

GCF of Fractions 92/96,61/52,903/171 is 1/71136

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

Greatest Common Factor of 92,61,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,61,903 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 92,61,903 . The biggest common factor number is the GCF number.
So the greatest common factor 92,61,903 is 1.

Lets's calculate LCM of 96,52,171

2 96, 52, 171
2 48, 26, 171
3 24, 13, 171
8, 13, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 13 x 57 = 71136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71136

Therefore, the GCF of Fractions 92/96,61/52,903/171 is 1/71136

Least Common Multiple of 96,52,171 with GCF Formula

Least Common Multiple of 96,52,171 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 96,52,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,52,171) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(96,52,171) x common factors =1 x 12 = 12

LCM(96,52,171) = ( 96 × 52 × 171 ) / 12

LCM(96,52,171) = 853632 / 12

LCM(96,52,171) = 71136


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 92/96, 61/52, 903/171

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 92/96, 61/52, 903/171?

Answer: GCF of Numerators as per given numbers 92/96, 61/52, 903/171 is

GCF of Numerators i.e. for 92,61,903 is 1

LCM of denominators i.e. for 96,52,171 is 71136.

Thus, GCF of Fractions is 1/71136.Finally, GCF of Fractions for 92/96, 61/52, 903/171 is 1/71136.