Greatest Common Factor of 387/348, 546/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 387/348, 546/129

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 387/348,546/129

Given fractions are 387/348,546/129

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 387,546

Greatest Common Factor of Numerators i.e. GCF of 387,546 is 3 .

LCM of Denominators means LCM of 348,129 as per the given fractions.

LCM of 348,129 is 14964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 387,546

GCF of Fractions 387/348,546/129 is 3/14964

3 387, 546
129, 182

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

Greatest Common Factor of 387,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,546 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 387,546 . The biggest common factor number is the GCF number.
So the greatest common factor 387,546 is 3.

Lets's calculate LCM of 348,129

3 348, 129
116, 43

∴ So the LCM of the given numbers is 3 x 116 x 43 = 14964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14964

Therefore, the GCF of Fractions 387/348,546/129 is 3/14964

Least Common Multiple of 348,129 with GCF Formula

Least Common Multiple of 348,129 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 348,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,129) = 3

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

GCF(348,129) x common factors =3 x 1 = 3

LCM(348,129) = ( 348 × 129 ) / 3

LCM(348,129) = 44892 / 3

LCM(348,129) = 14964


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 387/348, 546/129

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 387/348, 546/129?

Answer: GCF of Numerators as per given numbers 387/348, 546/129 is

GCF of Numerators i.e. for 387,546 is 3

LCM of denominators i.e. for 348,129 is 14964.

Thus, GCF of Fractions is 3/14964.Finally, GCF of Fractions for 387/348, 546/129 is 3/14964.