Greatest Common Factor of 654/514, 5061/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/514, 5061/354

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 654/514,5061/354

Given fractions are 654/514,5061/354

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 654,5061

Greatest Common Factor of Numerators i.e. GCF of 654,5061 is 3 .

LCM of Denominators means LCM of 514,354 as per the given fractions.

LCM of 514,354 is 90978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,5061

GCF of Fractions 654/514,5061/354 is 3/90978

3 654, 5061
218, 1687

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

Greatest Common Factor of 654,5061 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,5061 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 5061

List of positive integer factors of 5061 that divides 5061 without a remainder.

1,3,7,21,241,723,1687,5061

Greatest Common Factor

We found the factors 654,5061 . The biggest common factor number is the GCF number.
So the greatest common factor 654,5061 is 3.

Lets's calculate LCM of 514,354

2 514, 354
257, 177

∴ So the LCM of the given numbers is 2 x 257 x 177 = 90978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90978

Therefore, the GCF of Fractions 654/514,5061/354 is 3/90978

Least Common Multiple of 514,354 with GCF Formula

Least Common Multiple of 514,354 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 514,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,354) = 2

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

GCF(514,354) x common factors =2 x 1 = 2

LCM(514,354) = ( 514 × 354 ) / 2

LCM(514,354) = 181956 / 2

LCM(514,354) = 90978


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 654/514, 5061/354

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 654/514, 5061/354?

Answer: GCF of Numerators as per given numbers 654/514, 5061/354 is

GCF of Numerators i.e. for 654,5061 is 3

LCM of denominators i.e. for 514,354 is 90978.

Thus, GCF of Fractions is 3/90978.Finally, GCF of Fractions for 654/514, 5061/354 is 3/90978.