Greatest Common Factor of 396/19, 649/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/19, 649/156

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 396/19,649/156

Given fractions are 396/19,649/156

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 396,649

Greatest Common Factor of Numerators i.e. GCF of 396,649 is 11 .

LCM of Denominators means LCM of 19,156 as per the given fractions.

LCM of 19,156 is 2964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,649

GCF of Fractions 396/19,649/156 is 11/2964

11 396, 649
36, 59

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 396,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,649 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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 396,649 . The biggest common factor number is the GCF number.
So the greatest common factor 396,649 is 11.

Lets's calculate LCM of 19,156

Given numbers has no common factors except 1. So, there LCM is their product i.e 2964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2964

Therefore, the GCF of Fractions 396/19,649/156 is 11/2964

Least Common Multiple of 19,156 with GCF Formula

Least Common Multiple of 19,156 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 19,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,156) = 1

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

GCF(19,156) x common factors =1 x 1 = 1

LCM(19,156) = ( 19 × 156 ) / 1

LCM(19,156) = 2964 / 1

LCM(19,156) = 2964


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 396/19, 649/156

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 396/19, 649/156?

Answer: GCF of Numerators as per given numbers 396/19, 649/156 is

GCF of Numerators i.e. for 396,649 is 11

LCM of denominators i.e. for 19,156 is 2964.

Thus, GCF of Fractions is 11/2964.Finally, GCF of Fractions for 396/19, 649/156 is 11/2964.