Greatest Common Factor of 4724/20, 8651/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4724/20, 8651/790

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 4724/20,8651/790

Given fractions are 4724/20,8651/790

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 4724,8651

Greatest Common Factor of Numerators i.e. GCF of 4724,8651 is 1 .

LCM of Denominators means LCM of 20,790 as per the given fractions.

LCM of 20,790 is 1580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4724,8651

GCF of Fractions 4724/20,8651/790 is 1/1580

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

Greatest Common Factor of 4724,8651 By Matching Biggest Common Factor Method

Greatest Common Factor of 4724,8651 By Matching Biggest Common Factor Method

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1,2,4,1181,2362,4724

Factors of 8651

List of positive integer factors of 8651 that divides 8651 without a remainder.

1,41,211,8651

Greatest Common Factor

We found the factors 4724,8651 . The biggest common factor number is the GCF number.
So the greatest common factor 4724,8651 is 1.

Lets's calculate LCM of 20,790

2 20, 790
5 10, 395
2, 79

∴ So the LCM of the given numbers is 2 x 5 x 2 x 79 = 1580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1580

Therefore, the GCF of Fractions 4724/20,8651/790 is 1/1580

Least Common Multiple of 20,790 with GCF Formula

Least Common Multiple of 20,790 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 20,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,790) = 10

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

GCF(20,790) x common factors =10 x 1 = 10

LCM(20,790) = ( 20 × 790 ) / 10

LCM(20,790) = 15800 / 10

LCM(20,790) = 1580


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 4724/20, 8651/790

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 4724/20, 8651/790?

Answer: GCF of Numerators as per given numbers 4724/20, 8651/790 is

GCF of Numerators i.e. for 4724,8651 is 1

LCM of denominators i.e. for 20,790 is 1580.

Thus, GCF of Fractions is 1/1580.Finally, GCF of Fractions for 4724/20, 8651/790 is 1/1580.