Greatest Common Factor of 20/24, 90/36, 91/36, 61/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/24, 90/36, 91/36, 61/30

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 20/24,90/36,91/36,61/30

Given fractions are 20/24,90/36,91/36,61/30

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 20,90,91,61

Greatest Common Factor of Numerators i.e. GCF of 20,90,91,61 is 1 .

LCM of Denominators means LCM of 24,36,36,30 as per the given fractions.

LCM of 24,36,36,30 is 360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,90,91,61

GCF of Fractions 20/24,90/36,91/36,61/30 is 1/360

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

Greatest Common Factor of 20,90,91,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,90,91,61 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 61

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

1,61

Greatest Common Factor

We found the factors 20,90,91,61 . The biggest common factor number is the GCF number.
So the greatest common factor 20,90,91,61 is 1.

Lets's calculate LCM of 24,36,36,30

2 24, 36, 36, 30
2 12, 18, 18, 15
3 6, 9, 9, 15
3 2, 3, 3, 5
2, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 1 x 1 x 5 = 360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360

Therefore, the GCF of Fractions 20/24,90/36,91/36,61/30 is 1/360

Least Common Multiple of 24,36,36,30 with GCF Formula

Least Common Multiple of 24,36,36,30 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 24,36,36,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,36,36,30) = 6

common factors(in case of two or more numbers have common factors) = 432

GCF(24,36,36,30) x common factors =6 x 432 = 2592

LCM(24,36,36,30) = ( 24 × 36 × 36 × 30 ) / 2592

LCM(24,36,36,30) = 933120 / 2592

LCM(24,36,36,30) = 360


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 20/24, 90/36, 91/36, 61/30

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 20/24, 90/36, 91/36, 61/30?

Answer: GCF of Numerators as per given numbers 20/24, 90/36, 91/36, 61/30 is

GCF of Numerators i.e. for 20,90,91,61 is 1

LCM of denominators i.e. for 24,36,36,30 is 360.

Thus, GCF of Fractions is 1/360.Finally, GCF of Fractions for 20/24, 90/36, 91/36, 61/30 is 1/360.