Greatest Common Factor of 1989/133, 6588/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1989/133, 6588/661

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 1989/133,6588/661

Given fractions are 1989/133,6588/661

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 1989,6588

Greatest Common Factor of Numerators i.e. GCF of 1989,6588 is 9 .

LCM of Denominators means LCM of 133,661 as per the given fractions.

LCM of 133,661 is 87913 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1989,6588

GCF of Fractions 1989/133,6588/661 is 9/87913

3 1989, 6588
3 663, 2196
221, 732

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1989,6588 By Matching Biggest Common Factor Method

Greatest Common Factor of 1989,6588 By Matching Biggest Common Factor Method

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Factors of 6588

List of positive integer factors of 6588 that divides 6588 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,61,108,122,183,244,366,549,732,1098,1647,2196,3294,6588

Greatest Common Factor

We found the factors 1989,6588 . The biggest common factor number is the GCF number.
So the greatest common factor 1989,6588 is 9.

Lets's calculate LCM of 133,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 87913

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/87913

Therefore, the GCF of Fractions 1989/133,6588/661 is 9/87913

Least Common Multiple of 133,661 with GCF Formula

Least Common Multiple of 133,661 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 133,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,661) = 1

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

GCF(133,661) x common factors =1 x 1 = 1

LCM(133,661) = ( 133 × 661 ) / 1

LCM(133,661) = 87913 / 1

LCM(133,661) = 87913


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 1989/133, 6588/661

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 1989/133, 6588/661?

Answer: GCF of Numerators as per given numbers 1989/133, 6588/661 is

GCF of Numerators i.e. for 1989,6588 is 9

LCM of denominators i.e. for 133,661 is 87913.

Thus, GCF of Fractions is 9/87913.Finally, GCF of Fractions for 1989/133, 6588/661 is 9/87913.