Greatest Common Factor of 8759/784, 7903/5321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8759/784, 7903/5321

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 8759/784,7903/5321

Given fractions are 8759/784,7903/5321

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 8759,7903

Greatest Common Factor of Numerators i.e. GCF of 8759,7903 is 1 .

LCM of Denominators means LCM of 784,5321 as per the given fractions.

LCM of 784,5321 is 4171664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8759,7903

GCF of Fractions 8759/784,7903/5321 is 1/4171664

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

Greatest Common Factor of 8759,7903 By Matching Biggest Common Factor Method

Greatest Common Factor of 8759,7903 By Matching Biggest Common Factor Method

Factors of 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1,19,461,8759

Factors of 7903

List of positive integer factors of 7903 that divides 7903 without a remainder.

1,7,1129,7903

Greatest Common Factor

We found the factors 8759,7903 . The biggest common factor number is the GCF number.
So the greatest common factor 8759,7903 is 1.

Lets's calculate LCM of 784,5321

Given numbers has no common factors except 1. So, there LCM is their product i.e 4171664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4171664

Therefore, the GCF of Fractions 8759/784,7903/5321 is 1/4171664

Least Common Multiple of 784,5321 with GCF Formula

Least Common Multiple of 784,5321 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 784,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,5321) = 1

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

GCF(784,5321) x common factors =1 x 1 = 1

LCM(784,5321) = ( 784 × 5321 ) / 1

LCM(784,5321) = 4171664 / 1

LCM(784,5321) = 4171664


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 8759/784, 7903/5321

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 8759/784, 7903/5321?

Answer: GCF of Numerators as per given numbers 8759/784, 7903/5321 is

GCF of Numerators i.e. for 8759,7903 is 1

LCM of denominators i.e. for 784,5321 is 4171664.

Thus, GCF of Fractions is 1/4171664.Finally, GCF of Fractions for 8759/784, 7903/5321 is 1/4171664.