Greatest Common Factor of 53/42, 211/43, 596/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/42, 211/43, 596/903

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 53/42,211/43,596/903

Given fractions are 53/42,211/43,596/903

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 53,211,596

Greatest Common Factor of Numerators i.e. GCF of 53,211,596 is 1 .

LCM of Denominators means LCM of 42,43,903 as per the given fractions.

LCM of 42,43,903 is 1806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,211,596

GCF of Fractions 53/42,211/43,596/903 is 1/1806

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

Greatest Common Factor of 53,211,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,211,596 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 53,211,596 . The biggest common factor number is the GCF number.
So the greatest common factor 53,211,596 is 1.

Lets's calculate LCM of 42,43,903

3 42, 43, 903
7 14, 43, 301
43 2, 43, 43
2, 1, 1

∴ So the LCM of the given numbers is 3 x 7 x 43 x 2 x 1 x 1 = 1806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1806

Therefore, the GCF of Fractions 53/42,211/43,596/903 is 1/1806

Least Common Multiple of 42,43,903 with GCF Formula

Least Common Multiple of 42,43,903 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 42,43,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,43,903) = 1

common factors(in case of two or more numbers have common factors) = 903

GCF(42,43,903) x common factors =1 x 903 = 903

LCM(42,43,903) = ( 42 × 43 × 903 ) / 903

LCM(42,43,903) = 1630818 / 903

LCM(42,43,903) = 1806


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 53/42, 211/43, 596/903

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 53/42, 211/43, 596/903?

Answer: GCF of Numerators as per given numbers 53/42, 211/43, 596/903 is

GCF of Numerators i.e. for 53,211,596 is 1

LCM of denominators i.e. for 42,43,903 is 1806.

Thus, GCF of Fractions is 1/1806.Finally, GCF of Fractions for 53/42, 211/43, 596/903 is 1/1806.