Greatest Common Factor of 8940/21, 8720/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8940/21, 8720/622

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 8940/21,8720/622

Given fractions are 8940/21,8720/622

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 8940,8720

Greatest Common Factor of Numerators i.e. GCF of 8940,8720 is 20 .

LCM of Denominators means LCM of 21,622 as per the given fractions.

LCM of 21,622 is 13062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8940,8720

GCF of Fractions 8940/21,8720/622 is 20/13062

2 8940, 8720
2 4470, 4360
5 2235, 2180
447, 436

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 8940,8720 By Matching Biggest Common Factor Method

Greatest Common Factor of 8940,8720 By Matching Biggest Common Factor Method

Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 8940,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,8720 is 20.

Lets's calculate LCM of 21,622

Given numbers has no common factors except 1. So, there LCM is their product i.e 13062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/13062

Therefore, the GCF of Fractions 8940/21,8720/622 is 20/13062

Least Common Multiple of 21,622 with GCF Formula

Least Common Multiple of 21,622 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 21,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,622) = 1

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

GCF(21,622) x common factors =1 x 1 = 1

LCM(21,622) = ( 21 × 622 ) / 1

LCM(21,622) = 13062 / 1

LCM(21,622) = 13062


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 8940/21, 8720/622

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 8940/21, 8720/622?

Answer: GCF of Numerators as per given numbers 8940/21, 8720/622 is

GCF of Numerators i.e. for 8940,8720 is 20

LCM of denominators i.e. for 21,622 is 13062.

Thus, GCF of Fractions is 20/13062.Finally, GCF of Fractions for 8940/21, 8720/622 is 20/13062.