Greatest Common Factor of 8170/179, 9129/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8170/179, 9129/878

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 8170/179,9129/878

Given fractions are 8170/179,9129/878

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 8170,9129

Greatest Common Factor of Numerators i.e. GCF of 8170,9129 is 1 .

LCM of Denominators means LCM of 179,878 as per the given fractions.

LCM of 179,878 is 157162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8170,9129

GCF of Fractions 8170/179,9129/878 is 1/157162

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

Greatest Common Factor of 8170,9129 By Matching Biggest Common Factor Method

Greatest Common Factor of 8170,9129 By Matching Biggest Common Factor Method

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1,3,17,51,179,537,3043,9129

Greatest Common Factor

We found the factors 8170,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 8170,9129 is 1.

Lets's calculate LCM of 179,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 157162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157162

Therefore, the GCF of Fractions 8170/179,9129/878 is 1/157162

Least Common Multiple of 179,878 with GCF Formula

Least Common Multiple of 179,878 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 179,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,878) = 1

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

GCF(179,878) x common factors =1 x 1 = 1

LCM(179,878) = ( 179 × 878 ) / 1

LCM(179,878) = 157162 / 1

LCM(179,878) = 157162


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 8170/179, 9129/878

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 8170/179, 9129/878?

Answer: GCF of Numerators as per given numbers 8170/179, 9129/878 is

GCF of Numerators i.e. for 8170,9129 is 1

LCM of denominators i.e. for 179,878 is 157162.

Thus, GCF of Fractions is 1/157162.Finally, GCF of Fractions for 8170/179, 9129/878 is 1/157162.