Greatest Common Factor of 456/688, 7289/6740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/688, 7289/6740

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 456/688,7289/6740

Given fractions are 456/688,7289/6740

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 456,7289

Greatest Common Factor of Numerators i.e. GCF of 456,7289 is 1 .

LCM of Denominators means LCM of 688,6740 as per the given fractions.

LCM of 688,6740 is 1159280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,7289

GCF of Fractions 456/688,7289/6740 is 1/1159280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 456,7289 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,7289 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 7289

List of positive integer factors of 7289 that divides 7289 without a remainder.

1,37,197,7289

Greatest Common Factor

We found the factors 456,7289 . The biggest common factor number is the GCF number.
So the greatest common factor 456,7289 is 1.

Lets's calculate LCM of 688,6740

2 688, 6740
2 344, 3370
172, 1685

∴ So the LCM of the given numbers is 2 x 2 x 172 x 1685 = 1159280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1159280

Therefore, the GCF of Fractions 456/688,7289/6740 is 1/1159280

Least Common Multiple of 688,6740 with GCF Formula

Least Common Multiple of 688,6740 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 688,6740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,6740) = 4

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

GCF(688,6740) x common factors =4 x 1 = 4

LCM(688,6740) = ( 688 × 6740 ) / 4

LCM(688,6740) = 4637120 / 4

LCM(688,6740) = 1159280


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 456/688, 7289/6740

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 456/688, 7289/6740?

Answer: GCF of Numerators as per given numbers 456/688, 7289/6740 is

GCF of Numerators i.e. for 456,7289 is 1

LCM of denominators i.e. for 688,6740 is 1159280.

Thus, GCF of Fractions is 1/1159280.Finally, GCF of Fractions for 456/688, 7289/6740 is 1/1159280.