Greatest Common Factor of 2982/572, 7763/4389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2982/572, 7763/4389

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 2982/572,7763/4389

Given fractions are 2982/572,7763/4389

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 2982,7763

Greatest Common Factor of Numerators i.e. GCF of 2982,7763 is 7 .

LCM of Denominators means LCM of 572,4389 as per the given fractions.

LCM of 572,4389 is 228228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2982,7763

GCF of Fractions 2982/572,7763/4389 is 7/228228

7 2982, 7763
426, 1109

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2982,7763 By Matching Biggest Common Factor Method

Greatest Common Factor of 2982,7763 By Matching Biggest Common Factor Method

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982

Factors of 7763

List of positive integer factors of 7763 that divides 7763 without a remainder.

1,7,1109,7763

Greatest Common Factor

We found the factors 2982,7763 . The biggest common factor number is the GCF number.
So the greatest common factor 2982,7763 is 7.

Lets's calculate LCM of 572,4389

11 572, 4389
52, 399

∴ So the LCM of the given numbers is 11 x 52 x 399 = 228228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/228228

Therefore, the GCF of Fractions 2982/572,7763/4389 is 7/228228

Least Common Multiple of 572,4389 with GCF Formula

Least Common Multiple of 572,4389 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 572,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,4389) = 11

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

GCF(572,4389) x common factors =11 x 1 = 11

LCM(572,4389) = ( 572 × 4389 ) / 11

LCM(572,4389) = 2510508 / 11

LCM(572,4389) = 228228


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 2982/572, 7763/4389

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 2982/572, 7763/4389?

Answer: GCF of Numerators as per given numbers 2982/572, 7763/4389 is

GCF of Numerators i.e. for 2982,7763 is 7

LCM of denominators i.e. for 572,4389 is 228228.

Thus, GCF of Fractions is 7/228228.Finally, GCF of Fractions for 2982/572, 7763/4389 is 7/228228.