Greatest Common Factor of 8607/59, 8072/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8607/59, 8072/167

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 8607/59,8072/167

Given fractions are 8607/59,8072/167

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 8607,8072

Greatest Common Factor of Numerators i.e. GCF of 8607,8072 is 1 .

LCM of Denominators means LCM of 59,167 as per the given fractions.

LCM of 59,167 is 9853 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8607,8072

GCF of Fractions 8607/59,8072/167 is 1/9853

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

Greatest Common Factor of 8607,8072 By Matching Biggest Common Factor Method

Greatest Common Factor of 8607,8072 By Matching Biggest Common Factor Method

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1,3,19,57,151,453,2869,8607

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1,2,4,8,1009,2018,4036,8072

Greatest Common Factor

We found the factors 8607,8072 . The biggest common factor number is the GCF number.
So the greatest common factor 8607,8072 is 1.

Lets's calculate LCM of 59,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 9853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9853

Therefore, the GCF of Fractions 8607/59,8072/167 is 1/9853

Least Common Multiple of 59,167 with GCF Formula

Least Common Multiple of 59,167 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 59,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,167) = 1

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

GCF(59,167) x common factors =1 x 1 = 1

LCM(59,167) = ( 59 × 167 ) / 1

LCM(59,167) = 9853 / 1

LCM(59,167) = 9853


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 8607/59, 8072/167

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 8607/59, 8072/167?

Answer: GCF of Numerators as per given numbers 8607/59, 8072/167 is

GCF of Numerators i.e. for 8607,8072 is 1

LCM of denominators i.e. for 59,167 is 9853.

Thus, GCF of Fractions is 1/9853.Finally, GCF of Fractions for 8607/59, 8072/167 is 1/9853.