Greatest Common Factor of 588/99, 987/1322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/99, 987/1322

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 588/99,987/1322

Given fractions are 588/99,987/1322

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 588,987

Greatest Common Factor of Numerators i.e. GCF of 588,987 is 21 .

LCM of Denominators means LCM of 99,1322 as per the given fractions.

LCM of 99,1322 is 130878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,987

GCF of Fractions 588/99,987/1322 is 21/130878

3 588, 987
7 196, 329
28, 47

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 588,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,987 By Matching Biggest Common Factor Method

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

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 588,987 . The biggest common factor number is the GCF number.
So the greatest common factor 588,987 is 21.

Lets's calculate LCM of 99,1322

Given numbers has no common factors except 1. So, there LCM is their product i.e 130878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/130878

Therefore, the GCF of Fractions 588/99,987/1322 is 21/130878

Least Common Multiple of 99,1322 with GCF Formula

Least Common Multiple of 99,1322 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 99,1322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1322) = 1

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

GCF(99,1322) x common factors =1 x 1 = 1

LCM(99,1322) = ( 99 × 1322 ) / 1

LCM(99,1322) = 130878 / 1

LCM(99,1322) = 130878


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 588/99, 987/1322

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 588/99, 987/1322?

Answer: GCF of Numerators as per given numbers 588/99, 987/1322 is

GCF of Numerators i.e. for 588,987 is 21

LCM of denominators i.e. for 99,1322 is 130878.

Thus, GCF of Fractions is 21/130878.Finally, GCF of Fractions for 588/99, 987/1322 is 21/130878.