Greatest Common Factor of 516/15, 588/2197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/15, 588/2197

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 516/15,588/2197

Given fractions are 516/15,588/2197

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 516,588

Greatest Common Factor of Numerators i.e. GCF of 516,588 is 12 .

LCM of Denominators means LCM of 15,2197 as per the given fractions.

LCM of 15,2197 is 32955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,588

GCF of Fractions 516/15,588/2197 is 12/32955

2 516, 588
2 258, 294
3 129, 147
43, 49

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 516,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,588 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 516,588 . The biggest common factor number is the GCF number.
So the greatest common factor 516,588 is 12.

Lets's calculate LCM of 15,2197

Given numbers has no common factors except 1. So, there LCM is their product i.e 32955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/32955

Therefore, the GCF of Fractions 516/15,588/2197 is 12/32955

Least Common Multiple of 15,2197 with GCF Formula

Least Common Multiple of 15,2197 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 15,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,2197) = 1

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

GCF(15,2197) x common factors =1 x 1 = 1

LCM(15,2197) = ( 15 × 2197 ) / 1

LCM(15,2197) = 32955 / 1

LCM(15,2197) = 32955


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 516/15, 588/2197

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 516/15, 588/2197?

Answer: GCF of Numerators as per given numbers 516/15, 588/2197 is

GCF of Numerators i.e. for 516,588 is 12

LCM of denominators i.e. for 15,2197 is 32955.

Thus, GCF of Fractions is 12/32955.Finally, GCF of Fractions for 516/15, 588/2197 is 12/32955.