Greatest Common Factor of 5947/156, 3682/1339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5947/156, 3682/1339

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 5947/156,3682/1339

Given fractions are 5947/156,3682/1339

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 5947,3682

Greatest Common Factor of Numerators i.e. GCF of 5947,3682 is 1 .

LCM of Denominators means LCM of 156,1339 as per the given fractions.

LCM of 156,1339 is 16068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5947,3682

GCF of Fractions 5947/156,3682/1339 is 1/16068

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

Greatest Common Factor of 5947,3682 By Matching Biggest Common Factor Method

Greatest Common Factor of 5947,3682 By Matching Biggest Common Factor Method

Factors of 5947

List of positive integer factors of 5947 that divides 5947 without a remainder.

1,19,313,5947

Factors of 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors 5947,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 5947,3682 is 1.

Lets's calculate LCM of 156,1339

13 156, 1339
12, 103

∴ So the LCM of the given numbers is 13 x 12 x 103 = 16068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16068

Therefore, the GCF of Fractions 5947/156,3682/1339 is 1/16068

Least Common Multiple of 156,1339 with GCF Formula

Least Common Multiple of 156,1339 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 156,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,1339) = 13

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

GCF(156,1339) x common factors =13 x 1 = 13

LCM(156,1339) = ( 156 × 1339 ) / 13

LCM(156,1339) = 208884 / 13

LCM(156,1339) = 16068


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 5947/156, 3682/1339

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 5947/156, 3682/1339?

Answer: GCF of Numerators as per given numbers 5947/156, 3682/1339 is

GCF of Numerators i.e. for 5947,3682 is 1

LCM of denominators i.e. for 156,1339 is 16068.

Thus, GCF of Fractions is 1/16068.Finally, GCF of Fractions for 5947/156, 3682/1339 is 1/16068.