Greatest Common Factor of 396/784, 7371/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/784, 7371/936

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 396/784,7371/936

Given fractions are 396/784,7371/936

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 396,7371

Greatest Common Factor of Numerators i.e. GCF of 396,7371 is 9 .

LCM of Denominators means LCM of 784,936 as per the given fractions.

LCM of 784,936 is 91728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,7371

GCF of Fractions 396/784,7371/936 is 9/91728

3 396, 7371
3 132, 2457
44, 819

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 396,7371 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,7371 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 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Greatest Common Factor

We found the factors 396,7371 . The biggest common factor number is the GCF number.
So the greatest common factor 396,7371 is 9.

Lets's calculate LCM of 784,936

2 784, 936
2 392, 468
2 196, 234
98, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 117 = 91728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/91728

Therefore, the GCF of Fractions 396/784,7371/936 is 9/91728

Least Common Multiple of 784,936 with GCF Formula

Least Common Multiple of 784,936 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 784,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,936) = 8

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

GCF(784,936) x common factors =8 x 1 = 8

LCM(784,936) = ( 784 × 936 ) / 8

LCM(784,936) = 733824 / 8

LCM(784,936) = 91728


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 396/784, 7371/936

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 396/784, 7371/936?

Answer: GCF of Numerators as per given numbers 396/784, 7371/936 is

GCF of Numerators i.e. for 396,7371 is 9

LCM of denominators i.e. for 784,936 is 91728.

Thus, GCF of Fractions is 9/91728.Finally, GCF of Fractions for 396/784, 7371/936 is 9/91728.