Greatest Common Factor of 8540/20, 9084/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8540/20, 9084/236

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 8540/20,9084/236

Given fractions are 8540/20,9084/236

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 8540,9084

Greatest Common Factor of Numerators i.e. GCF of 8540,9084 is 4 .

LCM of Denominators means LCM of 20,236 as per the given fractions.

LCM of 20,236 is 1180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8540,9084

GCF of Fractions 8540/20,9084/236 is 4/1180

2 8540, 9084
2 4270, 4542
2135, 2271

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8540,9084 By Matching Biggest Common Factor Method

Greatest Common Factor of 8540,9084 By Matching Biggest Common Factor Method

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1,2,3,4,6,12,757,1514,2271,3028,4542,9084

Greatest Common Factor

We found the factors 8540,9084 . The biggest common factor number is the GCF number.
So the greatest common factor 8540,9084 is 4.

Lets's calculate LCM of 20,236

2 20, 236
2 10, 118
5, 59

∴ So the LCM of the given numbers is 2 x 2 x 5 x 59 = 1180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1180

Therefore, the GCF of Fractions 8540/20,9084/236 is 4/1180

Least Common Multiple of 20,236 with GCF Formula

Least Common Multiple of 20,236 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 20,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,236) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(20,236) x common factors =4 x 1 = 4

LCM(20,236) = ( 20 × 236 ) / 4

LCM(20,236) = 4720 / 4

LCM(20,236) = 1180


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 8540/20, 9084/236

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 8540/20, 9084/236?

Answer: GCF of Numerators as per given numbers 8540/20, 9084/236 is

GCF of Numerators i.e. for 8540,9084 is 4

LCM of denominators i.e. for 20,236 is 1180.

Thus, GCF of Fractions is 4/1180.Finally, GCF of Fractions for 8540/20, 9084/236 is 4/1180.