Greatest Common Factor of 1179/79, 3945/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1179/79, 3945/809

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 1179/79,3945/809

Given fractions are 1179/79,3945/809

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 1179,3945

Greatest Common Factor of Numerators i.e. GCF of 1179,3945 is 3 .

LCM of Denominators means LCM of 79,809 as per the given fractions.

LCM of 79,809 is 63911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1179,3945

GCF of Fractions 1179/79,3945/809 is 3/63911

3 1179, 3945
393, 1315

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

Greatest Common Factor of 1179,3945 By Matching Biggest Common Factor Method

Greatest Common Factor of 1179,3945 By Matching Biggest Common Factor Method

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1,3,9,131,393,1179

Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1,3,5,15,263,789,1315,3945

Greatest Common Factor

We found the factors 1179,3945 . The biggest common factor number is the GCF number.
So the greatest common factor 1179,3945 is 3.

Lets's calculate LCM of 79,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 63911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63911

Therefore, the GCF of Fractions 1179/79,3945/809 is 3/63911

Least Common Multiple of 79,809 with GCF Formula

Least Common Multiple of 79,809 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 79,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,809) = 1

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

GCF(79,809) x common factors =1 x 1 = 1

LCM(79,809) = ( 79 × 809 ) / 1

LCM(79,809) = 63911 / 1

LCM(79,809) = 63911


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 1179/79, 3945/809

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 1179/79, 3945/809?

Answer: GCF of Numerators as per given numbers 1179/79, 3945/809 is

GCF of Numerators i.e. for 1179,3945 is 3

LCM of denominators i.e. for 79,809 is 63911.

Thus, GCF of Fractions is 3/63911.Finally, GCF of Fractions for 1179/79, 3945/809 is 3/63911.