Greatest Common Factor of 453/537, 2612/2307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/537, 2612/2307

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 453/537,2612/2307

Given fractions are 453/537,2612/2307

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 453,2612

Greatest Common Factor of Numerators i.e. GCF of 453,2612 is 1 .

LCM of Denominators means LCM of 537,2307 as per the given fractions.

LCM of 537,2307 is 412953 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,2612

GCF of Fractions 453/537,2612/2307 is 1/412953

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

Greatest Common Factor of 453,2612 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,2612 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 2612

List of positive integer factors of 2612 that divides 2612 without a remainder.

1,2,4,653,1306,2612

Greatest Common Factor

We found the factors 453,2612 . The biggest common factor number is the GCF number.
So the greatest common factor 453,2612 is 1.

Lets's calculate LCM of 537,2307

3 537, 2307
179, 769

∴ So the LCM of the given numbers is 3 x 179 x 769 = 412953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412953

Therefore, the GCF of Fractions 453/537,2612/2307 is 1/412953

Least Common Multiple of 537,2307 with GCF Formula

Least Common Multiple of 537,2307 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 537,2307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,2307) = 3

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

GCF(537,2307) x common factors =3 x 1 = 3

LCM(537,2307) = ( 537 × 2307 ) / 3

LCM(537,2307) = 1238859 / 3

LCM(537,2307) = 412953


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 453/537, 2612/2307

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 453/537, 2612/2307?

Answer: GCF of Numerators as per given numbers 453/537, 2612/2307 is

GCF of Numerators i.e. for 453,2612 is 1

LCM of denominators i.e. for 537,2307 is 412953.

Thus, GCF of Fractions is 1/412953.Finally, GCF of Fractions for 453/537, 2612/2307 is 1/412953.