Greatest Common Factor of 2664/15, 1281/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2664/15, 1281/182

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 2664/15,1281/182

Given fractions are 2664/15,1281/182

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 2664,1281

Greatest Common Factor of Numerators i.e. GCF of 2664,1281 is 3 .

LCM of Denominators means LCM of 15,182 as per the given fractions.

LCM of 15,182 is 2730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2664,1281

GCF of Fractions 2664/15,1281/182 is 3/2730

3 2664, 1281
888, 427

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

Greatest Common Factor of 2664,1281 By Matching Biggest Common Factor Method

Greatest Common Factor of 2664,1281 By Matching Biggest Common Factor Method

Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1,3,7,21,61,183,427,1281

Greatest Common Factor

We found the factors 2664,1281 . The biggest common factor number is the GCF number.
So the greatest common factor 2664,1281 is 3.

Lets's calculate LCM of 15,182

Given numbers has no common factors except 1. So, there LCM is their product i.e 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2730

Therefore, the GCF of Fractions 2664/15,1281/182 is 3/2730

Least Common Multiple of 15,182 with GCF Formula

Least Common Multiple of 15,182 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 15,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,182) = 1

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

GCF(15,182) x common factors =1 x 1 = 1

LCM(15,182) = ( 15 × 182 ) / 1

LCM(15,182) = 2730 / 1

LCM(15,182) = 2730


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 2664/15, 1281/182

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 2664/15, 1281/182?

Answer: GCF of Numerators as per given numbers 2664/15, 1281/182 is

GCF of Numerators i.e. for 2664,1281 is 3

LCM of denominators i.e. for 15,182 is 2730.

Thus, GCF of Fractions is 3/2730.Finally, GCF of Fractions for 2664/15, 1281/182 is 3/2730.