Greatest Common Factor of 3972/542, 5233/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3972/542, 5233/616

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 3972/542,5233/616

Given fractions are 3972/542,5233/616

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 3972,5233

Greatest Common Factor of Numerators i.e. GCF of 3972,5233 is 1 .

LCM of Denominators means LCM of 542,616 as per the given fractions.

LCM of 542,616 is 166936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3972,5233

GCF of Fractions 3972/542,5233/616 is 1/166936

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

Greatest Common Factor of 3972,5233 By Matching Biggest Common Factor Method

Greatest Common Factor of 3972,5233 By Matching Biggest Common Factor Method

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1,5233

Greatest Common Factor

We found the factors 3972,5233 . The biggest common factor number is the GCF number.
So the greatest common factor 3972,5233 is 1.

Lets's calculate LCM of 542,616

2 542, 616
271, 308

∴ So the LCM of the given numbers is 2 x 271 x 308 = 166936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166936

Therefore, the GCF of Fractions 3972/542,5233/616 is 1/166936

Least Common Multiple of 542,616 with GCF Formula

Least Common Multiple of 542,616 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 542,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,616) = 2

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

GCF(542,616) x common factors =2 x 1 = 2

LCM(542,616) = ( 542 × 616 ) / 2

LCM(542,616) = 333872 / 2

LCM(542,616) = 166936


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 3972/542, 5233/616

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 3972/542, 5233/616?

Answer: GCF of Numerators as per given numbers 3972/542, 5233/616 is

GCF of Numerators i.e. for 3972,5233 is 1

LCM of denominators i.e. for 542,616 is 166936.

Thus, GCF of Fractions is 1/166936.Finally, GCF of Fractions for 3972/542, 5233/616 is 1/166936.