Greatest Common Factor of 180/45, 6636/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/45, 6636/748

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 180/45,6636/748

Given fractions are 180/45,6636/748

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 180,6636

Greatest Common Factor of Numerators i.e. GCF of 180,6636 is 12 .

LCM of Denominators means LCM of 45,748 as per the given fractions.

LCM of 45,748 is 33660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,6636

GCF of Fractions 180/45,6636/748 is 12/33660

2 180, 6636
2 90, 3318
3 45, 1659
15, 553

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 180,6636 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,6636 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636

Greatest Common Factor

We found the factors 180,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 180,6636 is 12.

Lets's calculate LCM of 45,748

Given numbers has no common factors except 1. So, there LCM is their product i.e 33660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/33660

Therefore, the GCF of Fractions 180/45,6636/748 is 12/33660

Least Common Multiple of 45,748 with GCF Formula

Least Common Multiple of 45,748 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 45,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,748) = 1

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

GCF(45,748) x common factors =1 x 1 = 1

LCM(45,748) = ( 45 × 748 ) / 1

LCM(45,748) = 33660 / 1

LCM(45,748) = 33660


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 180/45, 6636/748

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 180/45, 6636/748?

Answer: GCF of Numerators as per given numbers 180/45, 6636/748 is

GCF of Numerators i.e. for 180,6636 is 12

LCM of denominators i.e. for 45,748 is 33660.

Thus, GCF of Fractions is 12/33660.Finally, GCF of Fractions for 180/45, 6636/748 is 12/33660.