Greatest Common Factor of 93/52, 22/74, 108/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/52, 22/74, 108/758

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 93/52,22/74,108/758

Given fractions are 93/52,22/74,108/758

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 93,22,108

Greatest Common Factor of Numerators i.e. GCF of 93,22,108 is 1 .

LCM of Denominators means LCM of 52,74,758 as per the given fractions.

LCM of 52,74,758 is 729196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,22,108

GCF of Fractions 93/52,22/74,108/758 is 1/729196

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

Greatest Common Factor of 93,22,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,22,108 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 93,22,108 . The biggest common factor number is the GCF number.
So the greatest common factor 93,22,108 is 1.

Lets's calculate LCM of 52,74,758

2 52, 74, 758
26, 37, 379

∴ So the LCM of the given numbers is 2 x 26 x 37 x 379 = 729196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729196

Therefore, the GCF of Fractions 93/52,22/74,108/758 is 1/729196

Least Common Multiple of 52,74,758 with GCF Formula

Least Common Multiple of 52,74,758 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 52,74,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,74,758) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(52,74,758) x common factors =2 x 2 = 4

LCM(52,74,758) = ( 52 × 74 × 758 ) / 4

LCM(52,74,758) = 2916784 / 4

LCM(52,74,758) = 729196


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 93/52, 22/74, 108/758

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 93/52, 22/74, 108/758?

Answer: GCF of Numerators as per given numbers 93/52, 22/74, 108/758 is

GCF of Numerators i.e. for 93,22,108 is 1

LCM of denominators i.e. for 52,74,758 is 729196.

Thus, GCF of Fractions is 1/729196.Finally, GCF of Fractions for 93/52, 22/74, 108/758 is 1/729196.