Greatest Common Factor of 4602/273, 1686/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4602/273, 1686/111

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 4602/273,1686/111

Given fractions are 4602/273,1686/111

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 4602,1686

Greatest Common Factor of Numerators i.e. GCF of 4602,1686 is 6 .

LCM of Denominators means LCM of 273,111 as per the given fractions.

LCM of 273,111 is 10101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4602,1686

GCF of Fractions 4602/273,1686/111 is 6/10101

2 4602, 1686
3 2301, 843
767, 281

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4602,1686 By Matching Biggest Common Factor Method

Greatest Common Factor of 4602,1686 By Matching Biggest Common Factor Method

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1,2,3,6,281,562,843,1686

Greatest Common Factor

We found the factors 4602,1686 . The biggest common factor number is the GCF number.
So the greatest common factor 4602,1686 is 6.

Lets's calculate LCM of 273,111

3 273, 111
91, 37

∴ So the LCM of the given numbers is 3 x 91 x 37 = 10101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10101

Therefore, the GCF of Fractions 4602/273,1686/111 is 6/10101

Least Common Multiple of 273,111 with GCF Formula

Least Common Multiple of 273,111 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 273,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,111) = 3

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

GCF(273,111) x common factors =3 x 1 = 3

LCM(273,111) = ( 273 × 111 ) / 3

LCM(273,111) = 30303 / 3

LCM(273,111) = 10101


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 4602/273, 1686/111

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 4602/273, 1686/111?

Answer: GCF of Numerators as per given numbers 4602/273, 1686/111 is

GCF of Numerators i.e. for 4602,1686 is 6

LCM of denominators i.e. for 273,111 is 10101.

Thus, GCF of Fractions is 6/10101.Finally, GCF of Fractions for 4602/273, 1686/111 is 6/10101.