Greatest Common Factor of 107/23, 933/52, 167/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/23, 933/52, 167/591

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 107/23,933/52,167/591

Given fractions are 107/23,933/52,167/591

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 107,933,167

Greatest Common Factor of Numerators i.e. GCF of 107,933,167 is 1 .

LCM of Denominators means LCM of 23,52,591 as per the given fractions.

LCM of 23,52,591 is 706836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,933,167

GCF of Fractions 107/23,933/52,167/591 is 1/706836

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

Greatest Common Factor of 107,933,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,933,167 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 107,933,167 . The biggest common factor number is the GCF number.
So the greatest common factor 107,933,167 is 1.

Lets's calculate LCM of 23,52,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 706836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706836

Therefore, the GCF of Fractions 107/23,933/52,167/591 is 1/706836

Least Common Multiple of 23,52,591 with GCF Formula

Least Common Multiple of 23,52,591 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 23,52,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,52,591) = 1

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

GCF(23,52,591) x common factors =1 x 1 = 1

LCM(23,52,591) = ( 23 × 52 × 591 ) / 1

LCM(23,52,591) = 706836 / 1

LCM(23,52,591) = 706836


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 107/23, 933/52, 167/591

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 107/23, 933/52, 167/591?

Answer: GCF of Numerators as per given numbers 107/23, 933/52, 167/591 is

GCF of Numerators i.e. for 107,933,167 is 1

LCM of denominators i.e. for 23,52,591 is 706836.

Thus, GCF of Fractions is 1/706836.Finally, GCF of Fractions for 107/23, 933/52, 167/591 is 1/706836.