Greatest Common Factor of 6612/468, 3447/7577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6612/468, 3447/7577

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 6612/468,3447/7577

Given fractions are 6612/468,3447/7577

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 6612,3447

Greatest Common Factor of Numerators i.e. GCF of 6612,3447 is 3 .

LCM of Denominators means LCM of 468,7577 as per the given fractions.

LCM of 468,7577 is 3546036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6612,3447

GCF of Fractions 6612/468,3447/7577 is 3/3546036

3 6612, 3447
2204, 1149

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

Greatest Common Factor of 6612,3447 By Matching Biggest Common Factor Method

Greatest Common Factor of 6612,3447 By Matching Biggest Common Factor Method

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Greatest Common Factor

We found the factors 6612,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 6612,3447 is 3.

Lets's calculate LCM of 468,7577

Given numbers has no common factors except 1. So, there LCM is their product i.e 3546036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3546036

Therefore, the GCF of Fractions 6612/468,3447/7577 is 3/3546036

Least Common Multiple of 468,7577 with GCF Formula

Least Common Multiple of 468,7577 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 468,7577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,7577) = 1

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

GCF(468,7577) x common factors =1 x 1 = 1

LCM(468,7577) = ( 468 × 7577 ) / 1

LCM(468,7577) = 3546036 / 1

LCM(468,7577) = 3546036


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 6612/468, 3447/7577

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 6612/468, 3447/7577?

Answer: GCF of Numerators as per given numbers 6612/468, 3447/7577 is

GCF of Numerators i.e. for 6612,3447 is 3

LCM of denominators i.e. for 468,7577 is 3546036.

Thus, GCF of Fractions is 3/3546036.Finally, GCF of Fractions for 6612/468, 3447/7577 is 3/3546036.