Greatest Common Factor of 52/37, 78/68, 116/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/37, 78/68, 116/323

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 52/37,78/68,116/323

Given fractions are 52/37,78/68,116/323

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 52,78,116

Greatest Common Factor of Numerators i.e. GCF of 52,78,116 is 2 .

LCM of Denominators means LCM of 37,68,323 as per the given fractions.

LCM of 37,68,323 is 47804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,78,116

GCF of Fractions 52/37,78/68,116/323 is 2/47804

2 52, 78, 116
26, 39, 58

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,78,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,78,116 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 52,78,116 . The biggest common factor number is the GCF number.
So the greatest common factor 52,78,116 is 2.

Lets's calculate LCM of 37,68,323

17 37, 68, 323
37, 4, 19

∴ So the LCM of the given numbers is 17 x 37 x 4 x 19 = 47804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47804

Therefore, the GCF of Fractions 52/37,78/68,116/323 is 2/47804

Least Common Multiple of 37,68,323 with GCF Formula

Least Common Multiple of 37,68,323 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 37,68,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,68,323) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(37,68,323) x common factors =1 x 17 = 17

LCM(37,68,323) = ( 37 × 68 × 323 ) / 17

LCM(37,68,323) = 812668 / 17

LCM(37,68,323) = 47804


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 52/37, 78/68, 116/323

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 52/37, 78/68, 116/323?

Answer: GCF of Numerators as per given numbers 52/37, 78/68, 116/323 is

GCF of Numerators i.e. for 52,78,116 is 2

LCM of denominators i.e. for 37,68,323 is 47804.

Thus, GCF of Fractions is 2/47804.Finally, GCF of Fractions for 52/37, 78/68, 116/323 is 2/47804.