Greatest Common Factor of 5631/15, 3186/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5631/15, 3186/865

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 5631/15,3186/865

Given fractions are 5631/15,3186/865

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 5631,3186

Greatest Common Factor of Numerators i.e. GCF of 5631,3186 is 3 .

LCM of Denominators means LCM of 15,865 as per the given fractions.

LCM of 15,865 is 2595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5631,3186

GCF of Fractions 5631/15,3186/865 is 3/2595

3 5631, 3186
1877, 1062

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

Greatest Common Factor of 5631,3186 By Matching Biggest Common Factor Method

Greatest Common Factor of 5631,3186 By Matching Biggest Common Factor Method

Factors of 5631

List of positive integer factors of 5631 that divides 5631 without a remainder.

1,3,1877,5631

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Greatest Common Factor

We found the factors 5631,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 5631,3186 is 3.

Lets's calculate LCM of 15,865

5 15, 865
3, 173

∴ So the LCM of the given numbers is 5 x 3 x 173 = 2595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2595

Therefore, the GCF of Fractions 5631/15,3186/865 is 3/2595

Least Common Multiple of 15,865 with GCF Formula

Least Common Multiple of 15,865 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 15,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,865) = 5

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

GCF(15,865) x common factors =5 x 1 = 5

LCM(15,865) = ( 15 × 865 ) / 5

LCM(15,865) = 12975 / 5

LCM(15,865) = 2595


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 5631/15, 3186/865

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 5631/15, 3186/865?

Answer: GCF of Numerators as per given numbers 5631/15, 3186/865 is

GCF of Numerators i.e. for 5631,3186 is 3

LCM of denominators i.e. for 15,865 is 2595.

Thus, GCF of Fractions is 3/2595.Finally, GCF of Fractions for 5631/15, 3186/865 is 3/2595.