Greatest Common Factor of 180/3307, 612/8544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/3307, 612/8544

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 180/3307,612/8544

Given fractions are 180/3307,612/8544

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 180,612

Greatest Common Factor of Numerators i.e. GCF of 180,612 is 36 .

LCM of Denominators means LCM of 3307,8544 as per the given fractions.

LCM of 3307,8544 is 28255008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,612

GCF of Fractions 180/3307,612/8544 is 36/28255008

2 180, 612
2 90, 306
3 45, 153
3 15, 51
5, 17

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 180,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,612 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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 180,612 . The biggest common factor number is the GCF number.
So the greatest common factor 180,612 is 36.

Lets's calculate LCM of 3307,8544

Given numbers has no common factors except 1. So, there LCM is their product i.e 28255008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/28255008

Therefore, the GCF of Fractions 180/3307,612/8544 is 36/28255008

Least Common Multiple of 3307,8544 with GCF Formula

Least Common Multiple of 3307,8544 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 3307,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3307,8544) = 1

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

GCF(3307,8544) x common factors =1 x 1 = 1

LCM(3307,8544) = ( 3307 × 8544 ) / 1

LCM(3307,8544) = 28255008 / 1

LCM(3307,8544) = 28255008


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 180/3307, 612/8544

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 180/3307, 612/8544?

Answer: GCF of Numerators as per given numbers 180/3307, 612/8544 is

GCF of Numerators i.e. for 180,612 is 36

LCM of denominators i.e. for 3307,8544 is 28255008.

Thus, GCF of Fractions is 36/28255008.Finally, GCF of Fractions for 180/3307, 612/8544 is 36/28255008.