Greatest Common Factor of 7494/647, 4488/6561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7494/647, 4488/6561

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 7494/647,4488/6561

Given fractions are 7494/647,4488/6561

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 7494,4488

Greatest Common Factor of Numerators i.e. GCF of 7494,4488 is 6 .

LCM of Denominators means LCM of 647,6561 as per the given fractions.

LCM of 647,6561 is 4244967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7494,4488

GCF of Fractions 7494/647,4488/6561 is 6/4244967

2 7494, 4488
3 3747, 2244
1249, 748

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7494,4488 By Matching Biggest Common Factor Method

Greatest Common Factor of 7494,4488 By Matching Biggest Common Factor Method

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1,2,3,6,1249,2498,3747,7494

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Greatest Common Factor

We found the factors 7494,4488 . The biggest common factor number is the GCF number.
So the greatest common factor 7494,4488 is 6.

Lets's calculate LCM of 647,6561

Given numbers has no common factors except 1. So, there LCM is their product i.e 4244967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4244967

Therefore, the GCF of Fractions 7494/647,4488/6561 is 6/4244967

Least Common Multiple of 647,6561 with GCF Formula

Least Common Multiple of 647,6561 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 647,6561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,6561) = 1

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

GCF(647,6561) x common factors =1 x 1 = 1

LCM(647,6561) = ( 647 × 6561 ) / 1

LCM(647,6561) = 4244967 / 1

LCM(647,6561) = 4244967


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 7494/647, 4488/6561

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 7494/647, 4488/6561?

Answer: GCF of Numerators as per given numbers 7494/647, 4488/6561 is

GCF of Numerators i.e. for 7494,4488 is 6

LCM of denominators i.e. for 647,6561 is 4244967.

Thus, GCF of Fractions is 6/4244967.Finally, GCF of Fractions for 7494/647, 4488/6561 is 6/4244967.