Greatest Common Factor of 654/213, 7725/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/213, 7725/498

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 654/213,7725/498

Given fractions are 654/213,7725/498

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 654,7725

Greatest Common Factor of Numerators i.e. GCF of 654,7725 is 3 .

LCM of Denominators means LCM of 213,498 as per the given fractions.

LCM of 213,498 is 35358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,7725

GCF of Fractions 654/213,7725/498 is 3/35358

3 654, 7725
218, 2575

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

Greatest Common Factor of 654,7725 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,7725 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1,3,5,15,25,75,103,309,515,1545,2575,7725

Greatest Common Factor

We found the factors 654,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 654,7725 is 3.

Lets's calculate LCM of 213,498

3 213, 498
71, 166

∴ So the LCM of the given numbers is 3 x 71 x 166 = 35358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35358

Therefore, the GCF of Fractions 654/213,7725/498 is 3/35358

Least Common Multiple of 213,498 with GCF Formula

Least Common Multiple of 213,498 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 213,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,498) = 3

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

GCF(213,498) x common factors =3 x 1 = 3

LCM(213,498) = ( 213 × 498 ) / 3

LCM(213,498) = 106074 / 3

LCM(213,498) = 35358


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 654/213, 7725/498

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 654/213, 7725/498?

Answer: GCF of Numerators as per given numbers 654/213, 7725/498 is

GCF of Numerators i.e. for 654,7725 is 3

LCM of denominators i.e. for 213,498 is 35358.

Thus, GCF of Fractions is 3/35358.Finally, GCF of Fractions for 654/213, 7725/498 is 3/35358.