Greatest Common Factor of 5278/189, 4841/2067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5278/189, 4841/2067

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 5278/189,4841/2067

Given fractions are 5278/189,4841/2067

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 5278,4841

Greatest Common Factor of Numerators i.e. GCF of 5278,4841 is 1 .

LCM of Denominators means LCM of 189,2067 as per the given fractions.

LCM of 189,2067 is 130221 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5278,4841

GCF of Fractions 5278/189,4841/2067 is 1/130221

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

Greatest Common Factor of 5278,4841 By Matching Biggest Common Factor Method

Greatest Common Factor of 5278,4841 By Matching Biggest Common Factor Method

Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278

Factors of 4841

List of positive integer factors of 4841 that divides 4841 without a remainder.

1,47,103,4841

Greatest Common Factor

We found the factors 5278,4841 . The biggest common factor number is the GCF number.
So the greatest common factor 5278,4841 is 1.

Lets's calculate LCM of 189,2067

3 189, 2067
63, 689

∴ So the LCM of the given numbers is 3 x 63 x 689 = 130221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130221

Therefore, the GCF of Fractions 5278/189,4841/2067 is 1/130221

Least Common Multiple of 189,2067 with GCF Formula

Least Common Multiple of 189,2067 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 189,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,2067) = 3

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

GCF(189,2067) x common factors =3 x 1 = 3

LCM(189,2067) = ( 189 × 2067 ) / 3

LCM(189,2067) = 390663 / 3

LCM(189,2067) = 130221


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 5278/189, 4841/2067

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 5278/189, 4841/2067?

Answer: GCF of Numerators as per given numbers 5278/189, 4841/2067 is

GCF of Numerators i.e. for 5278,4841 is 1

LCM of denominators i.e. for 189,2067 is 130221.

Thus, GCF of Fractions is 1/130221.Finally, GCF of Fractions for 5278/189, 4841/2067 is 1/130221.