Greatest Common Factor of 312/72, 2535/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/72, 2535/243

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 312/72,2535/243

Given fractions are 312/72,2535/243

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 312,2535

Greatest Common Factor of Numerators i.e. GCF of 312,2535 is 39 .

LCM of Denominators means LCM of 72,243 as per the given fractions.

LCM of 72,243 is 1944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,2535

GCF of Fractions 312/72,2535/243 is 39/1944

3 312, 2535
13 104, 845
8, 65

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 312,2535 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,2535 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 2535

List of positive integer factors of 2535 that divides 2535 without a remainder.

1,3,5,13,15,39,65,169,195,507,845,2535

Greatest Common Factor

We found the factors 312,2535 . The biggest common factor number is the GCF number.
So the greatest common factor 312,2535 is 39.

Lets's calculate LCM of 72,243

3 72, 243
3 24, 81
8, 27

∴ So the LCM of the given numbers is 3 x 3 x 8 x 27 = 1944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1944

Therefore, the GCF of Fractions 312/72,2535/243 is 39/1944

Least Common Multiple of 72,243 with GCF Formula

Least Common Multiple of 72,243 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 72,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,243) = 9

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

GCF(72,243) x common factors =9 x 1 = 9

LCM(72,243) = ( 72 × 243 ) / 9

LCM(72,243) = 17496 / 9

LCM(72,243) = 1944


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 312/72, 2535/243

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 312/72, 2535/243?

Answer: GCF of Numerators as per given numbers 312/72, 2535/243 is

GCF of Numerators i.e. for 312,2535 is 39

LCM of denominators i.e. for 72,243 is 1944.

Thus, GCF of Fractions is 39/1944.Finally, GCF of Fractions for 312/72, 2535/243 is 39/1944.