Greatest Common Factor of 532/543, 7530/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/543, 7530/612

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 532/543,7530/612

Given fractions are 532/543,7530/612

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 532,7530

Greatest Common Factor of Numerators i.e. GCF of 532,7530 is 2 .

LCM of Denominators means LCM of 543,612 as per the given fractions.

LCM of 543,612 is 110772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,7530

GCF of Fractions 532/543,7530/612 is 2/110772

2 532, 7530
266, 3765

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 532,7530 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,7530 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530

Greatest Common Factor

We found the factors 532,7530 . The biggest common factor number is the GCF number.
So the greatest common factor 532,7530 is 2.

Lets's calculate LCM of 543,612

3 543, 612
181, 204

∴ So the LCM of the given numbers is 3 x 181 x 204 = 110772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110772

Therefore, the GCF of Fractions 532/543,7530/612 is 2/110772

Least Common Multiple of 543,612 with GCF Formula

Least Common Multiple of 543,612 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 543,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,612) = 3

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

GCF(543,612) x common factors =3 x 1 = 3

LCM(543,612) = ( 543 × 612 ) / 3

LCM(543,612) = 332316 / 3

LCM(543,612) = 110772


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 532/543, 7530/612

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 532/543, 7530/612?

Answer: GCF of Numerators as per given numbers 532/543, 7530/612 is

GCF of Numerators i.e. for 532,7530 is 2

LCM of denominators i.e. for 543,612 is 110772.

Thus, GCF of Fractions is 2/110772.Finally, GCF of Fractions for 532/543, 7530/612 is 2/110772.