Greatest Common Factor of 1476/721, 2612/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1476/721, 2612/808

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 1476/721,2612/808

Given fractions are 1476/721,2612/808

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 1476,2612

Greatest Common Factor of Numerators i.e. GCF of 1476,2612 is 4 .

LCM of Denominators means LCM of 721,808 as per the given fractions.

LCM of 721,808 is 582568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1476,2612

GCF of Fractions 1476/721,2612/808 is 4/582568

2 1476, 2612
2 738, 1306
369, 653

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1476,2612 By Matching Biggest Common Factor Method

Greatest Common Factor of 1476,2612 By Matching Biggest Common Factor Method

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476

Factors of 2612

List of positive integer factors of 2612 that divides 2612 without a remainder.

1,2,4,653,1306,2612

Greatest Common Factor

We found the factors 1476,2612 . The biggest common factor number is the GCF number.
So the greatest common factor 1476,2612 is 4.

Lets's calculate LCM of 721,808

Given numbers has no common factors except 1. So, there LCM is their product i.e 582568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/582568

Therefore, the GCF of Fractions 1476/721,2612/808 is 4/582568

Least Common Multiple of 721,808 with GCF Formula

Least Common Multiple of 721,808 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 721,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,808) = 1

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

GCF(721,808) x common factors =1 x 1 = 1

LCM(721,808) = ( 721 × 808 ) / 1

LCM(721,808) = 582568 / 1

LCM(721,808) = 582568


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 1476/721, 2612/808

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 1476/721, 2612/808?

Answer: GCF of Numerators as per given numbers 1476/721, 2612/808 is

GCF of Numerators i.e. for 1476,2612 is 4

LCM of denominators i.e. for 721,808 is 582568.

Thus, GCF of Fractions is 4/582568.Finally, GCF of Fractions for 1476/721, 2612/808 is 4/582568.