Greatest Common Factor of 159/843, 4632/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/843, 4632/591

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 159/843,4632/591

Given fractions are 159/843,4632/591

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 159,4632

Greatest Common Factor of Numerators i.e. GCF of 159,4632 is 3 .

LCM of Denominators means LCM of 843,591 as per the given fractions.

LCM of 843,591 is 166071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,4632

GCF of Fractions 159/843,4632/591 is 3/166071

3 159, 4632
53, 1544

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

Greatest Common Factor of 159,4632 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,4632 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632

Greatest Common Factor

We found the factors 159,4632 . The biggest common factor number is the GCF number.
So the greatest common factor 159,4632 is 3.

Lets's calculate LCM of 843,591

3 843, 591
281, 197

∴ So the LCM of the given numbers is 3 x 281 x 197 = 166071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166071

Therefore, the GCF of Fractions 159/843,4632/591 is 3/166071

Least Common Multiple of 843,591 with GCF Formula

Least Common Multiple of 843,591 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 843,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,591) = 3

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

GCF(843,591) x common factors =3 x 1 = 3

LCM(843,591) = ( 843 × 591 ) / 3

LCM(843,591) = 498213 / 3

LCM(843,591) = 166071


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 159/843, 4632/591

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 159/843, 4632/591?

Answer: GCF of Numerators as per given numbers 159/843, 4632/591 is

GCF of Numerators i.e. for 159,4632 is 3

LCM of denominators i.e. for 843,591 is 166071.

Thus, GCF of Fractions is 3/166071.Finally, GCF of Fractions for 159/843, 4632/591 is 3/166071.