Greatest Common Factor of 4647/720, 9156/1401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4647/720, 9156/1401

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 4647/720,9156/1401

Given fractions are 4647/720,9156/1401

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 4647,9156

Greatest Common Factor of Numerators i.e. GCF of 4647,9156 is 3 .

LCM of Denominators means LCM of 720,1401 as per the given fractions.

LCM of 720,1401 is 336240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4647,9156

GCF of Fractions 4647/720,9156/1401 is 3/336240

3 4647, 9156
1549, 3052

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

Greatest Common Factor of 4647,9156 By Matching Biggest Common Factor Method

Greatest Common Factor of 4647,9156 By Matching Biggest Common Factor Method

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1,3,1549,4647

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Greatest Common Factor

We found the factors 4647,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,9156 is 3.

Lets's calculate LCM of 720,1401

3 720, 1401
240, 467

∴ So the LCM of the given numbers is 3 x 240 x 467 = 336240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/336240

Therefore, the GCF of Fractions 4647/720,9156/1401 is 3/336240

Least Common Multiple of 720,1401 with GCF Formula

Least Common Multiple of 720,1401 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 720,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,1401) = 3

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

GCF(720,1401) x common factors =3 x 1 = 3

LCM(720,1401) = ( 720 × 1401 ) / 3

LCM(720,1401) = 1008720 / 3

LCM(720,1401) = 336240


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 4647/720, 9156/1401

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 4647/720, 9156/1401?

Answer: GCF of Numerators as per given numbers 4647/720, 9156/1401 is

GCF of Numerators i.e. for 4647,9156 is 3

LCM of denominators i.e. for 720,1401 is 336240.

Thus, GCF of Fractions is 3/336240.Finally, GCF of Fractions for 4647/720, 9156/1401 is 3/336240.