Greatest Common Factor of 2382/472, 6651/9146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2382/472, 6651/9146

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 2382/472,6651/9146

Given fractions are 2382/472,6651/9146

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 2382,6651

Greatest Common Factor of Numerators i.e. GCF of 2382,6651 is 3 .

LCM of Denominators means LCM of 472,9146 as per the given fractions.

LCM of 472,9146 is 2158456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2382,6651

GCF of Fractions 2382/472,6651/9146 is 3/2158456

3 2382, 6651
794, 2217

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

Greatest Common Factor of 2382,6651 By Matching Biggest Common Factor Method

Greatest Common Factor of 2382,6651 By Matching Biggest Common Factor Method

Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1,2,3,6,397,794,1191,2382

Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1,3,9,739,2217,6651

Greatest Common Factor

We found the factors 2382,6651 . The biggest common factor number is the GCF number.
So the greatest common factor 2382,6651 is 3.

Lets's calculate LCM of 472,9146

2 472, 9146
236, 4573

∴ So the LCM of the given numbers is 2 x 236 x 4573 = 2158456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2158456

Therefore, the GCF of Fractions 2382/472,6651/9146 is 3/2158456

Least Common Multiple of 472,9146 with GCF Formula

Least Common Multiple of 472,9146 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 472,9146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,9146) = 2

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

GCF(472,9146) x common factors =2 x 1 = 2

LCM(472,9146) = ( 472 × 9146 ) / 2

LCM(472,9146) = 4316912 / 2

LCM(472,9146) = 2158456


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 2382/472, 6651/9146

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 2382/472, 6651/9146?

Answer: GCF of Numerators as per given numbers 2382/472, 6651/9146 is

GCF of Numerators i.e. for 2382,6651 is 3

LCM of denominators i.e. for 472,9146 is 2158456.

Thus, GCF of Fractions is 3/2158456.Finally, GCF of Fractions for 2382/472, 6651/9146 is 3/2158456.