Greatest Common Factor of 7587/795, 7764/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7587/795, 7764/486

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 7587/795,7764/486

Given fractions are 7587/795,7764/486

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 7587,7764

Greatest Common Factor of Numerators i.e. GCF of 7587,7764 is 3 .

LCM of Denominators means LCM of 795,486 as per the given fractions.

LCM of 795,486 is 128790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7587,7764

GCF of Fractions 7587/795,7764/486 is 3/128790

3 7587, 7764
2529, 2588

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

Greatest Common Factor of 7587,7764 By Matching Biggest Common Factor Method

Greatest Common Factor of 7587,7764 By Matching Biggest Common Factor Method

Factors of 7587

List of positive integer factors of 7587 that divides 7587 without a remainder.

1,3,9,27,281,843,2529,7587

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1,2,3,4,6,12,647,1294,1941,2588,3882,7764

Greatest Common Factor

We found the factors 7587,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 7587,7764 is 3.

Lets's calculate LCM of 795,486

3 795, 486
265, 162

∴ So the LCM of the given numbers is 3 x 265 x 162 = 128790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128790

Therefore, the GCF of Fractions 7587/795,7764/486 is 3/128790

Least Common Multiple of 795,486 with GCF Formula

Least Common Multiple of 795,486 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 795,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,486) = 3

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

GCF(795,486) x common factors =3 x 1 = 3

LCM(795,486) = ( 795 × 486 ) / 3

LCM(795,486) = 386370 / 3

LCM(795,486) = 128790


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 7587/795, 7764/486

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 7587/795, 7764/486?

Answer: GCF of Numerators as per given numbers 7587/795, 7764/486 is

GCF of Numerators i.e. for 7587,7764 is 3

LCM of denominators i.e. for 795,486 is 128790.

Thus, GCF of Fractions is 3/128790.Finally, GCF of Fractions for 7587/795, 7764/486 is 3/128790.