Greatest Common Factor of 92/71, 96/82, 57/89, 45/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/71, 96/82, 57/89, 45/502

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 92/71,96/82,57/89,45/502

Given fractions are 92/71,96/82,57/89,45/502

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 92,96,57,45

Greatest Common Factor of Numerators i.e. GCF of 92,96,57,45 is 1 .

LCM of Denominators means LCM of 71,82,89,502 as per the given fractions.

LCM of 71,82,89,502 is 130057658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,96,57,45

GCF of Fractions 92/71,96/82,57/89,45/502 is 1/130057658

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

Greatest Common Factor of 92,96,57,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,96,57,45 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 92,96,57,45 . The biggest common factor number is the GCF number.
So the greatest common factor 92,96,57,45 is 1.

Lets's calculate LCM of 71,82,89,502

2 71, 82, 89, 502
71, 41, 89, 251

∴ So the LCM of the given numbers is 2 x 71 x 41 x 89 x 251 = 130057658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130057658

Therefore, the GCF of Fractions 92/71,96/82,57/89,45/502 is 1/130057658

Least Common Multiple of 71,82,89,502 with GCF Formula

Least Common Multiple of 71,82,89,502 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 71,82,89,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,82,89,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,82,89,502) x common factors =1 x 2 = 2

LCM(71,82,89,502) = ( 71 × 82 × 89 × 502 ) / 2

LCM(71,82,89,502) = 260115316 / 2

LCM(71,82,89,502) = 130057658


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 92/71, 96/82, 57/89, 45/502

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 92/71, 96/82, 57/89, 45/502?

Answer: GCF of Numerators as per given numbers 92/71, 96/82, 57/89, 45/502 is

GCF of Numerators i.e. for 92,96,57,45 is 1

LCM of denominators i.e. for 71,82,89,502 is 130057658.

Thus, GCF of Fractions is 1/130057658.Finally, GCF of Fractions for 92/71, 96/82, 57/89, 45/502 is 1/130057658.