Greatest Common Factor of 9171/475, 8958/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9171/475, 8958/187

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 9171/475,8958/187

Given fractions are 9171/475,8958/187

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 9171,8958

Greatest Common Factor of Numerators i.e. GCF of 9171,8958 is 3 .

LCM of Denominators means LCM of 475,187 as per the given fractions.

LCM of 475,187 is 88825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9171,8958

GCF of Fractions 9171/475,8958/187 is 3/88825

3 9171, 8958
3057, 2986

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9171,8958 By Matching Biggest Common Factor Method

Greatest Common Factor of 9171,8958 By Matching Biggest Common Factor Method

Factors of 9171

List of positive integer factors of 9171 that divides 9171 without a remainder.

1,3,9,1019,3057,9171

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 9171,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 9171,8958 is 3.

Lets's calculate LCM of 475,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 88825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88825

Therefore, the GCF of Fractions 9171/475,8958/187 is 3/88825

Least Common Multiple of 475,187 with GCF Formula

Least Common Multiple of 475,187 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 475,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,187) = 1

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

GCF(475,187) x common factors =1 x 1 = 1

LCM(475,187) = ( 475 × 187 ) / 1

LCM(475,187) = 88825 / 1

LCM(475,187) = 88825


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 9171/475, 8958/187

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 9171/475, 8958/187?

Answer: GCF of Numerators as per given numbers 9171/475, 8958/187 is

GCF of Numerators i.e. for 9171,8958 is 3

LCM of denominators i.e. for 475,187 is 88825.

Thus, GCF of Fractions is 3/88825.Finally, GCF of Fractions for 9171/475, 8958/187 is 3/88825.