Greatest Common Factor of 3068/167, 9555/3179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3068/167, 9555/3179

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 3068/167,9555/3179

Given fractions are 3068/167,9555/3179

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 3068,9555

Greatest Common Factor of Numerators i.e. GCF of 3068,9555 is 13 .

LCM of Denominators means LCM of 167,3179 as per the given fractions.

LCM of 167,3179 is 530893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3068,9555

GCF of Fractions 3068/167,9555/3179 is 13/530893

13 3068, 9555
236, 735

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3068,9555 By Matching Biggest Common Factor Method

Greatest Common Factor of 3068,9555 By Matching Biggest Common Factor Method

Factors of 3068

List of positive integer factors of 3068 that divides 3068 without a remainder.

1,2,4,13,26,52,59,118,236,767,1534,3068

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555

Greatest Common Factor

We found the factors 3068,9555 . The biggest common factor number is the GCF number.
So the greatest common factor 3068,9555 is 13.

Lets's calculate LCM of 167,3179

Given numbers has no common factors except 1. So, there LCM is their product i.e 530893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/530893

Therefore, the GCF of Fractions 3068/167,9555/3179 is 13/530893

Least Common Multiple of 167,3179 with GCF Formula

Least Common Multiple of 167,3179 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 167,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,3179) = 1

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

GCF(167,3179) x common factors =1 x 1 = 1

LCM(167,3179) = ( 167 × 3179 ) / 1

LCM(167,3179) = 530893 / 1

LCM(167,3179) = 530893


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 3068/167, 9555/3179

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 3068/167, 9555/3179?

Answer: GCF of Numerators as per given numbers 3068/167, 9555/3179 is

GCF of Numerators i.e. for 3068,9555 is 13

LCM of denominators i.e. for 167,3179 is 530893.

Thus, GCF of Fractions is 13/530893.Finally, GCF of Fractions for 3068/167, 9555/3179 is 13/530893.