Greatest Common Factor of 8931/909, 8042/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8931/909, 8042/171

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 8931/909,8042/171

Given fractions are 8931/909,8042/171

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 8931,8042

Greatest Common Factor of Numerators i.e. GCF of 8931,8042 is 1 .

LCM of Denominators means LCM of 909,171 as per the given fractions.

LCM of 909,171 is 17271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8931,8042

GCF of Fractions 8931/909,8042/171 is 1/17271

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

Greatest Common Factor of 8931,8042 By Matching Biggest Common Factor Method

Greatest Common Factor of 8931,8042 By Matching Biggest Common Factor Method

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1,3,13,39,229,687,2977,8931

Factors of 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1,2,4021,8042

Greatest Common Factor

We found the factors 8931,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,8042 is 1.

Lets's calculate LCM of 909,171

3 909, 171
3 303, 57
101, 19

∴ So the LCM of the given numbers is 3 x 3 x 101 x 19 = 17271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17271

Therefore, the GCF of Fractions 8931/909,8042/171 is 1/17271

Least Common Multiple of 909,171 with GCF Formula

Least Common Multiple of 909,171 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 909,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,171) = 9

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

GCF(909,171) x common factors =9 x 1 = 9

LCM(909,171) = ( 909 × 171 ) / 9

LCM(909,171) = 155439 / 9

LCM(909,171) = 17271


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 8931/909, 8042/171

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 8931/909, 8042/171?

Answer: GCF of Numerators as per given numbers 8931/909, 8042/171 is

GCF of Numerators i.e. for 8931,8042 is 1

LCM of denominators i.e. for 909,171 is 17271.

Thus, GCF of Fractions is 1/17271.Finally, GCF of Fractions for 8931/909, 8042/171 is 1/17271.