Greatest Common Factor of 396/3587, 156/4349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/3587, 156/4349

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 396/3587,156/4349

Given fractions are 396/3587,156/4349

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 396,156

Greatest Common Factor of Numerators i.e. GCF of 396,156 is 12 .

LCM of Denominators means LCM of 3587,4349 as per the given fractions.

LCM of 3587,4349 is 15599863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,156

GCF of Fractions 396/3587,156/4349 is 12/15599863

2 396, 156
2 198, 78
3 99, 39
33, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 396,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,156 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 396,156 . The biggest common factor number is the GCF number.
So the greatest common factor 396,156 is 12.

Lets's calculate LCM of 3587,4349

Given numbers has no common factors except 1. So, there LCM is their product i.e 15599863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15599863

Therefore, the GCF of Fractions 396/3587,156/4349 is 12/15599863

Least Common Multiple of 3587,4349 with GCF Formula

Least Common Multiple of 3587,4349 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 3587,4349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3587,4349) = 1

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

GCF(3587,4349) x common factors =1 x 1 = 1

LCM(3587,4349) = ( 3587 × 4349 ) / 1

LCM(3587,4349) = 15599863 / 1

LCM(3587,4349) = 15599863


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 396/3587, 156/4349

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 396/3587, 156/4349?

Answer: GCF of Numerators as per given numbers 396/3587, 156/4349 is

GCF of Numerators i.e. for 396,156 is 12

LCM of denominators i.e. for 3587,4349 is 15599863.

Thus, GCF of Fractions is 12/15599863.Finally, GCF of Fractions for 396/3587, 156/4349 is 12/15599863.