Greatest Common Factor of 2747/316, 9479/1122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2747/316, 9479/1122

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 2747/316,9479/1122

Given fractions are 2747/316,9479/1122

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 2747,9479

Greatest Common Factor of Numerators i.e. GCF of 2747,9479 is 1 .

LCM of Denominators means LCM of 316,1122 as per the given fractions.

LCM of 316,1122 is 177276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2747,9479

GCF of Fractions 2747/316,9479/1122 is 1/177276

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

Greatest Common Factor of 2747,9479 By Matching Biggest Common Factor Method

Greatest Common Factor of 2747,9479 By Matching Biggest Common Factor Method

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Factors of 9479

List of positive integer factors of 9479 that divides 9479 without a remainder.

1,9479

Greatest Common Factor

We found the factors 2747,9479 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,9479 is 1.

Lets's calculate LCM of 316,1122

2 316, 1122
158, 561

∴ So the LCM of the given numbers is 2 x 158 x 561 = 177276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177276

Therefore, the GCF of Fractions 2747/316,9479/1122 is 1/177276

Least Common Multiple of 316,1122 with GCF Formula

Least Common Multiple of 316,1122 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 316,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,1122) = 2

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

GCF(316,1122) x common factors =2 x 1 = 2

LCM(316,1122) = ( 316 × 1122 ) / 2

LCM(316,1122) = 354552 / 2

LCM(316,1122) = 177276


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 2747/316, 9479/1122

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 2747/316, 9479/1122?

Answer: GCF of Numerators as per given numbers 2747/316, 9479/1122 is

GCF of Numerators i.e. for 2747,9479 is 1

LCM of denominators i.e. for 316,1122 is 177276.

Thus, GCF of Fractions is 1/177276.Finally, GCF of Fractions for 2747/316, 9479/1122 is 1/177276.