Greatest Common Factor of 9565/676, 1272/6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9565/676, 1272/6264

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 9565/676,1272/6264

Given fractions are 9565/676,1272/6264

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 9565,1272

Greatest Common Factor of Numerators i.e. GCF of 9565,1272 is 1 .

LCM of Denominators means LCM of 676,6264 as per the given fractions.

LCM of 676,6264 is 1058616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9565,1272

GCF of Fractions 9565/676,1272/6264 is 1/1058616

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

Greatest Common Factor of 9565,1272 By Matching Biggest Common Factor Method

Greatest Common Factor of 9565,1272 By Matching Biggest Common Factor Method

Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1,5,1913,9565

Factors of 1272

List of positive integer factors of 1272 that divides 1272 without a remainder.

1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272

Greatest Common Factor

We found the factors 9565,1272 . The biggest common factor number is the GCF number.
So the greatest common factor 9565,1272 is 1.

Lets's calculate LCM of 676,6264

2 676, 6264
2 338, 3132
169, 1566

∴ So the LCM of the given numbers is 2 x 2 x 169 x 1566 = 1058616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058616

Therefore, the GCF of Fractions 9565/676,1272/6264 is 1/1058616

Least Common Multiple of 676,6264 with GCF Formula

Least Common Multiple of 676,6264 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 676,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,6264) = 4

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

GCF(676,6264) x common factors =4 x 1 = 4

LCM(676,6264) = ( 676 × 6264 ) / 4

LCM(676,6264) = 4234464 / 4

LCM(676,6264) = 1058616


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 9565/676, 1272/6264

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 9565/676, 1272/6264?

Answer: GCF of Numerators as per given numbers 9565/676, 1272/6264 is

GCF of Numerators i.e. for 9565,1272 is 1

LCM of denominators i.e. for 676,6264 is 1058616.

Thus, GCF of Fractions is 1/1058616.Finally, GCF of Fractions for 9565/676, 1272/6264 is 1/1058616.