Greatest Common Factor of 84/20, 59/82, 76/10, 59/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/20, 59/82, 76/10, 59/125

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 84/20,59/82,76/10,59/125

Given fractions are 84/20,59/82,76/10,59/125

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 84,59,76,59

Greatest Common Factor of Numerators i.e. GCF of 84,59,76,59 is 1 .

LCM of Denominators means LCM of 20,82,10,125 as per the given fractions.

LCM of 20,82,10,125 is 20500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,59,76,59

GCF of Fractions 84/20,59/82,76/10,59/125 is 1/20500

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

Greatest Common Factor of 84,59,76,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,59,76,59 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 84,59,76,59 . The biggest common factor number is the GCF number.
So the greatest common factor 84,59,76,59 is 1.

Lets's calculate LCM of 20,82,10,125

2 20, 82, 10, 125
5 10, 41, 5, 125
2, 41, 1, 25

∴ So the LCM of the given numbers is 2 x 5 x 2 x 41 x 1 x 25 = 20500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20500

Therefore, the GCF of Fractions 84/20,59/82,76/10,59/125 is 1/20500

Least Common Multiple of 20,82,10,125 with GCF Formula

Least Common Multiple of 20,82,10,125 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 20,82,10,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,82,10,125) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(20,82,10,125) x common factors =1 x 100 = 100

LCM(20,82,10,125) = ( 20 × 82 × 10 × 125 ) / 100

LCM(20,82,10,125) = 2050000 / 100

LCM(20,82,10,125) = 20500


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 84/20, 59/82, 76/10, 59/125

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 84/20, 59/82, 76/10, 59/125?

Answer: GCF of Numerators as per given numbers 84/20, 59/82, 76/10, 59/125 is

GCF of Numerators i.e. for 84,59,76,59 is 1

LCM of denominators i.e. for 20,82,10,125 is 20500.

Thus, GCF of Fractions is 1/20500.Finally, GCF of Fractions for 84/20, 59/82, 76/10, 59/125 is 1/20500.