Greatest Common Factor of 8542/20, 3584/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8542/20, 3584/979

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 8542/20,3584/979

Given fractions are 8542/20,3584/979

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 8542,3584

Greatest Common Factor of Numerators i.e. GCF of 8542,3584 is 2 .

LCM of Denominators means LCM of 20,979 as per the given fractions.

LCM of 20,979 is 19580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8542,3584

GCF of Fractions 8542/20,3584/979 is 2/19580

2 8542, 3584
4271, 1792

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

Greatest Common Factor of 8542,3584 By Matching Biggest Common Factor Method

Greatest Common Factor of 8542,3584 By Matching Biggest Common Factor Method

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

Greatest Common Factor

We found the factors 8542,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 8542,3584 is 2.

Lets's calculate LCM of 20,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 19580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19580

Therefore, the GCF of Fractions 8542/20,3584/979 is 2/19580

Least Common Multiple of 20,979 with GCF Formula

Least Common Multiple of 20,979 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 20,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,979) = 1

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

GCF(20,979) x common factors =1 x 1 = 1

LCM(20,979) = ( 20 × 979 ) / 1

LCM(20,979) = 19580 / 1

LCM(20,979) = 19580


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 8542/20, 3584/979

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 8542/20, 3584/979?

Answer: GCF of Numerators as per given numbers 8542/20, 3584/979 is

GCF of Numerators i.e. for 8542,3584 is 2

LCM of denominators i.e. for 20,979 is 19580.

Thus, GCF of Fractions is 2/19580.Finally, GCF of Fractions for 8542/20, 3584/979 is 2/19580.