Greatest Common Factor of 1395/80, 8943/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1395/80, 8943/939

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 1395/80,8943/939

Given fractions are 1395/80,8943/939

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 1395,8943

Greatest Common Factor of Numerators i.e. GCF of 1395,8943 is 3 .

LCM of Denominators means LCM of 80,939 as per the given fractions.

LCM of 80,939 is 75120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1395,8943

GCF of Fractions 1395/80,8943/939 is 3/75120

3 1395, 8943
465, 2981

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

Greatest Common Factor of 1395,8943 By Matching Biggest Common Factor Method

Greatest Common Factor of 1395,8943 By Matching Biggest Common Factor Method

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1,3,11,33,271,813,2981,8943

Greatest Common Factor

We found the factors 1395,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 1395,8943 is 3.

Lets's calculate LCM of 80,939

Given numbers has no common factors except 1. So, there LCM is their product i.e 75120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75120

Therefore, the GCF of Fractions 1395/80,8943/939 is 3/75120

Least Common Multiple of 80,939 with GCF Formula

Least Common Multiple of 80,939 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 80,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,939) = 1

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

GCF(80,939) x common factors =1 x 1 = 1

LCM(80,939) = ( 80 × 939 ) / 1

LCM(80,939) = 75120 / 1

LCM(80,939) = 75120


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 1395/80, 8943/939

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 1395/80, 8943/939?

Answer: GCF of Numerators as per given numbers 1395/80, 8943/939 is

GCF of Numerators i.e. for 1395,8943 is 3

LCM of denominators i.e. for 80,939 is 75120.

Thus, GCF of Fractions is 3/75120.Finally, GCF of Fractions for 1395/80, 8943/939 is 3/75120.