Greatest Common Factor of 747/251, 327/354, 783/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/251, 327/354, 783/615

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 747/251,327/354,783/615

Given fractions are 747/251,327/354,783/615

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 747,327,783

Greatest Common Factor of Numerators i.e. GCF of 747,327,783 is 3 .

LCM of Denominators means LCM of 251,354,615 as per the given fractions.

LCM of 251,354,615 is 18215070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,327,783

GCF of Fractions 747/251,327/354,783/615 is 3/18215070

3 747, 327, 783
249, 109, 261

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

Greatest Common Factor of 747,327,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,327,783 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 747,327,783 . The biggest common factor number is the GCF number.
So the greatest common factor 747,327,783 is 3.

Lets's calculate LCM of 251,354,615

3 251, 354, 615
251, 118, 205

∴ So the LCM of the given numbers is 3 x 251 x 118 x 205 = 18215070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18215070

Therefore, the GCF of Fractions 747/251,327/354,783/615 is 3/18215070

Least Common Multiple of 251,354,615 with GCF Formula

Least Common Multiple of 251,354,615 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 251,354,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,354,615) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(251,354,615) x common factors =1 x 3 = 3

LCM(251,354,615) = ( 251 × 354 × 615 ) / 3

LCM(251,354,615) = 54645210 / 3

LCM(251,354,615) = 18215070


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 747/251, 327/354, 783/615

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 747/251, 327/354, 783/615?

Answer: GCF of Numerators as per given numbers 747/251, 327/354, 783/615 is

GCF of Numerators i.e. for 747,327,783 is 3

LCM of denominators i.e. for 251,354,615 is 18215070.

Thus, GCF of Fractions is 3/18215070.Finally, GCF of Fractions for 747/251, 327/354, 783/615 is 3/18215070.