Greatest Common Factor of 9611/27, 5764/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9611/27, 5764/318

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 9611/27,5764/318

Given fractions are 9611/27,5764/318

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 9611,5764

Greatest Common Factor of Numerators i.e. GCF of 9611,5764 is 1 .

LCM of Denominators means LCM of 27,318 as per the given fractions.

LCM of 27,318 is 2862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9611,5764

GCF of Fractions 9611/27,5764/318 is 1/2862

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

Greatest Common Factor of 9611,5764 By Matching Biggest Common Factor Method

Greatest Common Factor of 9611,5764 By Matching Biggest Common Factor Method

Factors of 9611

List of positive integer factors of 9611 that divides 9611 without a remainder.

1,7,1373,9611

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1,2,4,11,22,44,131,262,524,1441,2882,5764

Greatest Common Factor

We found the factors 9611,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 9611,5764 is 1.

Lets's calculate LCM of 27,318

3 27, 318
9, 106

∴ So the LCM of the given numbers is 3 x 9 x 106 = 2862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2862

Therefore, the GCF of Fractions 9611/27,5764/318 is 1/2862

Least Common Multiple of 27,318 with GCF Formula

Least Common Multiple of 27,318 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 27,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,318) = 3

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

GCF(27,318) x common factors =3 x 1 = 3

LCM(27,318) = ( 27 × 318 ) / 3

LCM(27,318) = 8586 / 3

LCM(27,318) = 2862


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 9611/27, 5764/318

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 9611/27, 5764/318?

Answer: GCF of Numerators as per given numbers 9611/27, 5764/318 is

GCF of Numerators i.e. for 9611,5764 is 1

LCM of denominators i.e. for 27,318 is 2862.

Thus, GCF of Fractions is 1/2862.Finally, GCF of Fractions for 9611/27, 5764/318 is 1/2862.