Greatest Common Factor of 6369/82, 7821/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6369/82, 7821/524

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 6369/82,7821/524

Given fractions are 6369/82,7821/524

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 6369,7821

Greatest Common Factor of Numerators i.e. GCF of 6369,7821 is 33 .

LCM of Denominators means LCM of 82,524 as per the given fractions.

LCM of 82,524 is 21484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6369,7821

GCF of Fractions 6369/82,7821/524 is 33/21484

3 6369, 7821
11 2123, 2607
193, 237

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 6369,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 6369,7821 By Matching Biggest Common Factor Method

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 6369,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 6369,7821 is 33.

Lets's calculate LCM of 82,524

2 82, 524
41, 262

∴ So the LCM of the given numbers is 2 x 41 x 262 = 21484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/21484

Therefore, the GCF of Fractions 6369/82,7821/524 is 33/21484

Least Common Multiple of 82,524 with GCF Formula

Least Common Multiple of 82,524 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 82,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,524) = 2

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

GCF(82,524) x common factors =2 x 1 = 2

LCM(82,524) = ( 82 × 524 ) / 2

LCM(82,524) = 42968 / 2

LCM(82,524) = 21484


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 6369/82, 7821/524

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 6369/82, 7821/524?

Answer: GCF of Numerators as per given numbers 6369/82, 7821/524 is

GCF of Numerators i.e. for 6369,7821 is 33

LCM of denominators i.e. for 82,524 is 21484.

Thus, GCF of Fractions is 33/21484.Finally, GCF of Fractions for 6369/82, 7821/524 is 33/21484.