Greatest Common Factor of 9846/733, 2271/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9846/733, 2271/215

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 9846/733,2271/215

Given fractions are 9846/733,2271/215

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 9846,2271

Greatest Common Factor of Numerators i.e. GCF of 9846,2271 is 3 .

LCM of Denominators means LCM of 733,215 as per the given fractions.

LCM of 733,215 is 157595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9846,2271

GCF of Fractions 9846/733,2271/215 is 3/157595

3 9846, 2271
3282, 757

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

Greatest Common Factor of 9846,2271 By Matching Biggest Common Factor Method

Greatest Common Factor of 9846,2271 By Matching Biggest Common Factor Method

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Factors of 2271

List of positive integer factors of 2271 that divides 2271 without a remainder.

1,3,757,2271

Greatest Common Factor

We found the factors 9846,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 9846,2271 is 3.

Lets's calculate LCM of 733,215

Given numbers has no common factors except 1. So, there LCM is their product i.e 157595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/157595

Therefore, the GCF of Fractions 9846/733,2271/215 is 3/157595

Least Common Multiple of 733,215 with GCF Formula

Least Common Multiple of 733,215 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 733,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,215) = 1

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

GCF(733,215) x common factors =1 x 1 = 1

LCM(733,215) = ( 733 × 215 ) / 1

LCM(733,215) = 157595 / 1

LCM(733,215) = 157595


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 9846/733, 2271/215

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 9846/733, 2271/215?

Answer: GCF of Numerators as per given numbers 9846/733, 2271/215 is

GCF of Numerators i.e. for 9846,2271 is 3

LCM of denominators i.e. for 733,215 is 157595.

Thus, GCF of Fractions is 3/157595.Finally, GCF of Fractions for 9846/733, 2271/215 is 3/157595.