Greatest Common Factor of 4047/15, 1386/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4047/15, 1386/129

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 4047/15,1386/129

Given fractions are 4047/15,1386/129

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 4047,1386

Greatest Common Factor of Numerators i.e. GCF of 4047,1386 is 3 .

LCM of Denominators means LCM of 15,129 as per the given fractions.

LCM of 15,129 is 645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4047,1386

GCF of Fractions 4047/15,1386/129 is 3/645

3 4047, 1386
1349, 462

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

Greatest Common Factor of 4047,1386 By Matching Biggest Common Factor Method

Greatest Common Factor of 4047,1386 By Matching Biggest Common Factor Method

Factors of 4047

List of positive integer factors of 4047 that divides 4047 without a remainder.

1,3,19,57,71,213,1349,4047

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors 4047,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 4047,1386 is 3.

Lets's calculate LCM of 15,129

3 15, 129
5, 43

∴ So the LCM of the given numbers is 3 x 5 x 43 = 645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/645

Therefore, the GCF of Fractions 4047/15,1386/129 is 3/645

Least Common Multiple of 15,129 with GCF Formula

Least Common Multiple of 15,129 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 15,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,129) = 3

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

GCF(15,129) x common factors =3 x 1 = 3

LCM(15,129) = ( 15 × 129 ) / 3

LCM(15,129) = 1935 / 3

LCM(15,129) = 645


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 4047/15, 1386/129

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 4047/15, 1386/129?

Answer: GCF of Numerators as per given numbers 4047/15, 1386/129 is

GCF of Numerators i.e. for 4047,1386 is 3

LCM of denominators i.e. for 15,129 is 645.

Thus, GCF of Fractions is 3/645.Finally, GCF of Fractions for 4047/15, 1386/129 is 3/645.