Greatest Common Factor of 31/362, 2735/4362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/362, 2735/4362

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 31/362,2735/4362

Given fractions are 31/362,2735/4362

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 31,2735

Greatest Common Factor of Numerators i.e. GCF of 31,2735 is 1 .

LCM of Denominators means LCM of 362,4362 as per the given fractions.

LCM of 362,4362 is 789522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,2735

GCF of Fractions 31/362,2735/4362 is 1/789522

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

Greatest Common Factor of 31,2735 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,2735 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1,5,547,2735

Greatest Common Factor

We found the factors 31,2735 . The biggest common factor number is the GCF number.
So the greatest common factor 31,2735 is 1.

Lets's calculate LCM of 362,4362

2 362, 4362
181, 2181

∴ So the LCM of the given numbers is 2 x 181 x 2181 = 789522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789522

Therefore, the GCF of Fractions 31/362,2735/4362 is 1/789522

Least Common Multiple of 362,4362 with GCF Formula

Least Common Multiple of 362,4362 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 362,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,4362) = 2

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

GCF(362,4362) x common factors =2 x 1 = 2

LCM(362,4362) = ( 362 × 4362 ) / 2

LCM(362,4362) = 1579044 / 2

LCM(362,4362) = 789522


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 31/362, 2735/4362

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 31/362, 2735/4362?

Answer: GCF of Numerators as per given numbers 31/362, 2735/4362 is

GCF of Numerators i.e. for 31,2735 is 1

LCM of denominators i.e. for 362,4362 is 789522.

Thus, GCF of Fractions is 1/789522.Finally, GCF of Fractions for 31/362, 2735/4362 is 1/789522.