Greatest Common Factor of 653/772, 2762/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/772, 2762/302

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 653/772,2762/302

Given fractions are 653/772,2762/302

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 653,2762

Greatest Common Factor of Numerators i.e. GCF of 653,2762 is 1 .

LCM of Denominators means LCM of 772,302 as per the given fractions.

LCM of 772,302 is 116572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,2762

GCF of Fractions 653/772,2762/302 is 1/116572

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

Greatest Common Factor of 653,2762 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,2762 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 2762

List of positive integer factors of 2762 that divides 2762 without a remainder.

1,2,1381,2762

Greatest Common Factor

We found the factors 653,2762 . The biggest common factor number is the GCF number.
So the greatest common factor 653,2762 is 1.

Lets's calculate LCM of 772,302

2 772, 302
386, 151

∴ So the LCM of the given numbers is 2 x 386 x 151 = 116572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116572

Therefore, the GCF of Fractions 653/772,2762/302 is 1/116572

Least Common Multiple of 772,302 with GCF Formula

Least Common Multiple of 772,302 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 772,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,302) = 2

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

GCF(772,302) x common factors =2 x 1 = 2

LCM(772,302) = ( 772 × 302 ) / 2

LCM(772,302) = 233144 / 2

LCM(772,302) = 116572


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 653/772, 2762/302

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 653/772, 2762/302?

Answer: GCF of Numerators as per given numbers 653/772, 2762/302 is

GCF of Numerators i.e. for 653,2762 is 1

LCM of denominators i.e. for 772,302 is 116572.

Thus, GCF of Fractions is 1/116572.Finally, GCF of Fractions for 653/772, 2762/302 is 1/116572.