Greatest Common Factor of 2527/33, 8912/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2527/33, 8912/612

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 2527/33,8912/612

Given fractions are 2527/33,8912/612

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 2527,8912

Greatest Common Factor of Numerators i.e. GCF of 2527,8912 is 1 .

LCM of Denominators means LCM of 33,612 as per the given fractions.

LCM of 33,612 is 6732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2527,8912

GCF of Fractions 2527/33,8912/612 is 1/6732

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

Greatest Common Factor of 2527,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 2527,8912 By Matching Biggest Common Factor Method

Factors of 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1,7,19,133,361,2527

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 2527,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,8912 is 1.

Lets's calculate LCM of 33,612

3 33, 612
11, 204

∴ So the LCM of the given numbers is 3 x 11 x 204 = 6732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6732

Therefore, the GCF of Fractions 2527/33,8912/612 is 1/6732

Least Common Multiple of 33,612 with GCF Formula

Least Common Multiple of 33,612 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 33,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,612) = 3

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

GCF(33,612) x common factors =3 x 1 = 3

LCM(33,612) = ( 33 × 612 ) / 3

LCM(33,612) = 20196 / 3

LCM(33,612) = 6732


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 2527/33, 8912/612

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 2527/33, 8912/612?

Answer: GCF of Numerators as per given numbers 2527/33, 8912/612 is

GCF of Numerators i.e. for 2527,8912 is 1

LCM of denominators i.e. for 33,612 is 6732.

Thus, GCF of Fractions is 1/6732.Finally, GCF of Fractions for 2527/33, 8912/612 is 1/6732.