Greatest Common Factor of 7137/885, 2499/4527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7137/885, 2499/4527

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 7137/885,2499/4527

Given fractions are 7137/885,2499/4527

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 7137,2499

Greatest Common Factor of Numerators i.e. GCF of 7137,2499 is 3 .

LCM of Denominators means LCM of 885,4527 as per the given fractions.

LCM of 885,4527 is 1335465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7137,2499

GCF of Fractions 7137/885,2499/4527 is 3/1335465

3 7137, 2499
2379, 833

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7137,2499 By Matching Biggest Common Factor Method

Greatest Common Factor of 7137,2499 By Matching Biggest Common Factor Method

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1,3,9,13,39,61,117,183,549,793,2379,7137

Factors of 2499

List of positive integer factors of 2499 that divides 2499 without a remainder.

1,3,7,17,21,49,51,119,147,357,833,2499

Greatest Common Factor

We found the factors 7137,2499 . The biggest common factor number is the GCF number.
So the greatest common factor 7137,2499 is 3.

Lets's calculate LCM of 885,4527

3 885, 4527
295, 1509

∴ So the LCM of the given numbers is 3 x 295 x 1509 = 1335465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1335465

Therefore, the GCF of Fractions 7137/885,2499/4527 is 3/1335465

Least Common Multiple of 885,4527 with GCF Formula

Least Common Multiple of 885,4527 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 885,4527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,4527) = 3

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

GCF(885,4527) x common factors =3 x 1 = 3

LCM(885,4527) = ( 885 × 4527 ) / 3

LCM(885,4527) = 4006395 / 3

LCM(885,4527) = 1335465


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7137/885, 2499/4527

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 7137/885, 2499/4527?

Answer: GCF of Numerators as per given numbers 7137/885, 2499/4527 is

GCF of Numerators i.e. for 7137,2499 is 3

LCM of denominators i.e. for 885,4527 is 1335465.

Thus, GCF of Fractions is 3/1335465.Finally, GCF of Fractions for 7137/885, 2499/4527 is 3/1335465.