Greatest Common Factor of 9118/73, 2526/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9118/73, 2526/167

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 9118/73,2526/167

Given fractions are 9118/73,2526/167

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 9118,2526

Greatest Common Factor of Numerators i.e. GCF of 9118,2526 is 2 .

LCM of Denominators means LCM of 73,167 as per the given fractions.

LCM of 73,167 is 12191 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9118,2526

GCF of Fractions 9118/73,2526/167 is 2/12191

2 9118, 2526
4559, 1263

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

Greatest Common Factor of 9118,2526 By Matching Biggest Common Factor Method

Greatest Common Factor of 9118,2526 By Matching Biggest Common Factor Method

Factors of 9118

List of positive integer factors of 9118 that divides 9118 without a remainder.

1,2,47,94,97,194,4559,9118

Factors of 2526

List of positive integer factors of 2526 that divides 2526 without a remainder.

1,2,3,6,421,842,1263,2526

Greatest Common Factor

We found the factors 9118,2526 . The biggest common factor number is the GCF number.
So the greatest common factor 9118,2526 is 2.

Lets's calculate LCM of 73,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 12191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12191

Therefore, the GCF of Fractions 9118/73,2526/167 is 2/12191

Least Common Multiple of 73,167 with GCF Formula

Least Common Multiple of 73,167 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 73,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,167) = 1

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

GCF(73,167) x common factors =1 x 1 = 1

LCM(73,167) = ( 73 × 167 ) / 1

LCM(73,167) = 12191 / 1

LCM(73,167) = 12191


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 9118/73, 2526/167

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 9118/73, 2526/167?

Answer: GCF of Numerators as per given numbers 9118/73, 2526/167 is

GCF of Numerators i.e. for 9118,2526 is 2

LCM of denominators i.e. for 73,167 is 12191.

Thus, GCF of Fractions is 2/12191.Finally, GCF of Fractions for 9118/73, 2526/167 is 2/12191.