Greatest Common Factor of 8091/179, 1155/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8091/179, 1155/837

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 8091/179,1155/837

Given fractions are 8091/179,1155/837

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 8091,1155

Greatest Common Factor of Numerators i.e. GCF of 8091,1155 is 3 .

LCM of Denominators means LCM of 179,837 as per the given fractions.

LCM of 179,837 is 149823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8091,1155

GCF of Fractions 8091/179,1155/837 is 3/149823

3 8091, 1155
2697, 385

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

Greatest Common Factor of 8091,1155 By Matching Biggest Common Factor Method

Greatest Common Factor of 8091,1155 By Matching Biggest Common Factor Method

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Greatest Common Factor

We found the factors 8091,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 8091,1155 is 3.

Lets's calculate LCM of 179,837

Given numbers has no common factors except 1. So, there LCM is their product i.e 149823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149823

Therefore, the GCF of Fractions 8091/179,1155/837 is 3/149823

Least Common Multiple of 179,837 with GCF Formula

Least Common Multiple of 179,837 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 179,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,837) = 1

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

GCF(179,837) x common factors =1 x 1 = 1

LCM(179,837) = ( 179 × 837 ) / 1

LCM(179,837) = 149823 / 1

LCM(179,837) = 149823


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 8091/179, 1155/837

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 8091/179, 1155/837?

Answer: GCF of Numerators as per given numbers 8091/179, 1155/837 is

GCF of Numerators i.e. for 8091,1155 is 3

LCM of denominators i.e. for 179,837 is 149823.

Thus, GCF of Fractions is 3/149823.Finally, GCF of Fractions for 8091/179, 1155/837 is 3/149823.