Greatest Common Factor of 543/572, 2626/2076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/572, 2626/2076

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 543/572,2626/2076

Given fractions are 543/572,2626/2076

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 543,2626

Greatest Common Factor of Numerators i.e. GCF of 543,2626 is 1 .

LCM of Denominators means LCM of 572,2076 as per the given fractions.

LCM of 572,2076 is 296868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,2626

GCF of Fractions 543/572,2626/2076 is 1/296868

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

Greatest Common Factor of 543,2626 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,2626 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 543,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 543,2626 is 1.

Lets's calculate LCM of 572,2076

2 572, 2076
2 286, 1038
143, 519

∴ So the LCM of the given numbers is 2 x 2 x 143 x 519 = 296868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296868

Therefore, the GCF of Fractions 543/572,2626/2076 is 1/296868

Least Common Multiple of 572,2076 with GCF Formula

Least Common Multiple of 572,2076 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 572,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,2076) = 4

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

GCF(572,2076) x common factors =4 x 1 = 4

LCM(572,2076) = ( 572 × 2076 ) / 4

LCM(572,2076) = 1187472 / 4

LCM(572,2076) = 296868


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 543/572, 2626/2076

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 543/572, 2626/2076?

Answer: GCF of Numerators as per given numbers 543/572, 2626/2076 is

GCF of Numerators i.e. for 543,2626 is 1

LCM of denominators i.e. for 572,2076 is 296868.

Thus, GCF of Fractions is 1/296868.Finally, GCF of Fractions for 543/572, 2626/2076 is 1/296868.