Greatest Common Factor of 48/87, 83/89, 79/28, 97/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/87, 83/89, 79/28, 97/531

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 48/87,83/89,79/28,97/531

Given fractions are 48/87,83/89,79/28,97/531

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 48,83,79,97

Greatest Common Factor of Numerators i.e. GCF of 48,83,79,97 is 1 .

LCM of Denominators means LCM of 87,89,28,531 as per the given fractions.

LCM of 87,89,28,531 is 38374308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,83,79,97

GCF of Fractions 48/87,83/89,79/28,97/531 is 1/38374308

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

Greatest Common Factor of 48,83,79,97 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,83,79,97 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors 48,83,79,97 . The biggest common factor number is the GCF number.
So the greatest common factor 48,83,79,97 is 1.

Lets's calculate LCM of 87,89,28,531

3 87, 89, 28, 531
29, 89, 28, 177

∴ So the LCM of the given numbers is 3 x 29 x 89 x 28 x 177 = 38374308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38374308

Therefore, the GCF of Fractions 48/87,83/89,79/28,97/531 is 1/38374308

Least Common Multiple of 87,89,28,531 with GCF Formula

Least Common Multiple of 87,89,28,531 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 87,89,28,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,89,28,531) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,89,28,531) x common factors =1 x 3 = 3

LCM(87,89,28,531) = ( 87 × 89 × 28 × 531 ) / 3

LCM(87,89,28,531) = 115122924 / 3

LCM(87,89,28,531) = 38374308


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 48/87, 83/89, 79/28, 97/531

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 48/87, 83/89, 79/28, 97/531?

Answer: GCF of Numerators as per given numbers 48/87, 83/89, 79/28, 97/531 is

GCF of Numerators i.e. for 48,83,79,97 is 1

LCM of denominators i.e. for 87,89,28,531 is 38374308.

Thus, GCF of Fractions is 1/38374308.Finally, GCF of Fractions for 48/87, 83/89, 79/28, 97/531 is 1/38374308.