Greatest Common Factor of 84/12, 60/52, 276/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/12, 60/52, 276/243

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 84/12,60/52,276/243

Given fractions are 84/12,60/52,276/243

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 84,60,276

Greatest Common Factor of Numerators i.e. GCF of 84,60,276 is 12 .

LCM of Denominators means LCM of 12,52,243 as per the given fractions.

LCM of 12,52,243 is 12636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,60,276

GCF of Fractions 84/12,60/52,276/243 is 12/12636

2 84, 60, 276
2 42, 30, 138
3 21, 15, 69
7, 5, 23

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 84,60,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,60,276 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 84,60,276 . The biggest common factor number is the GCF number.
So the greatest common factor 84,60,276 is 12.

Lets's calculate LCM of 12,52,243

2 12, 52, 243
2 6, 26, 243
3 3, 13, 243
1, 13, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 13 x 81 = 12636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12636

Therefore, the GCF of Fractions 84/12,60/52,276/243 is 12/12636

Least Common Multiple of 12,52,243 with GCF Formula

Least Common Multiple of 12,52,243 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 12,52,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,52,243) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,52,243) x common factors =1 x 12 = 12

LCM(12,52,243) = ( 12 × 52 × 243 ) / 12

LCM(12,52,243) = 151632 / 12

LCM(12,52,243) = 12636


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 84/12, 60/52, 276/243

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 84/12, 60/52, 276/243?

Answer: GCF of Numerators as per given numbers 84/12, 60/52, 276/243 is

GCF of Numerators i.e. for 84,60,276 is 12

LCM of denominators i.e. for 12,52,243 is 12636.

Thus, GCF of Fractions is 12/12636.Finally, GCF of Fractions for 84/12, 60/52, 276/243 is 12/12636.