Greatest Common Factor of 5017/381, 6753/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5017/381, 6753/468

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 5017/381,6753/468

Given fractions are 5017/381,6753/468

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 5017,6753

Greatest Common Factor of Numerators i.e. GCF of 5017,6753 is 1 .

LCM of Denominators means LCM of 381,468 as per the given fractions.

LCM of 381,468 is 59436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5017,6753

GCF of Fractions 5017/381,6753/468 is 1/59436

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5017,6753 By Matching Biggest Common Factor Method

Greatest Common Factor of 5017,6753 By Matching Biggest Common Factor Method

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1,29,173,5017

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1,3,2251,6753

Greatest Common Factor

We found the factors 5017,6753 . The biggest common factor number is the GCF number.
So the greatest common factor 5017,6753 is 1.

Lets's calculate LCM of 381,468

3 381, 468
127, 156

∴ So the LCM of the given numbers is 3 x 127 x 156 = 59436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59436

Therefore, the GCF of Fractions 5017/381,6753/468 is 1/59436

Least Common Multiple of 381,468 with GCF Formula

Least Common Multiple of 381,468 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 381,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,468) = 3

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

GCF(381,468) x common factors =3 x 1 = 3

LCM(381,468) = ( 381 × 468 ) / 3

LCM(381,468) = 178308 / 3

LCM(381,468) = 59436


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 5017/381, 6753/468

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 5017/381, 6753/468?

Answer: GCF of Numerators as per given numbers 5017/381, 6753/468 is

GCF of Numerators i.e. for 5017,6753 is 1

LCM of denominators i.e. for 381,468 is 59436.

Thus, GCF of Fractions is 1/59436.Finally, GCF of Fractions for 5017/381, 6753/468 is 1/59436.