Greatest Common Factor of 542/516, 916/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/516, 916/606

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 542/516,916/606

Given fractions are 542/516,916/606

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 542,916

Greatest Common Factor of Numerators i.e. GCF of 542,916 is 2 .

LCM of Denominators means LCM of 516,606 as per the given fractions.

LCM of 516,606 is 52116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,916

GCF of Fractions 542/516,916/606 is 2/52116

2 542, 916
271, 458

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 542,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,916 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 542,916 . The biggest common factor number is the GCF number.
So the greatest common factor 542,916 is 2.

Lets's calculate LCM of 516,606

2 516, 606
3 258, 303
86, 101

∴ So the LCM of the given numbers is 2 x 3 x 86 x 101 = 52116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52116

Therefore, the GCF of Fractions 542/516,916/606 is 2/52116

Least Common Multiple of 516,606 with GCF Formula

Least Common Multiple of 516,606 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 516,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,606) = 6

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

GCF(516,606) x common factors =6 x 1 = 6

LCM(516,606) = ( 516 × 606 ) / 6

LCM(516,606) = 312696 / 6

LCM(516,606) = 52116


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 542/516, 916/606

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 542/516, 916/606?

Answer: GCF of Numerators as per given numbers 542/516, 916/606 is

GCF of Numerators i.e. for 542,916 is 2

LCM of denominators i.e. for 516,606 is 52116.

Thus, GCF of Fractions is 2/52116.Finally, GCF of Fractions for 542/516, 916/606 is 2/52116.