Greatest Common Factor of 129/17, 189/1660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/17, 189/1660

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 129/17,189/1660

Given fractions are 129/17,189/1660

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 129,189

Greatest Common Factor of Numerators i.e. GCF of 129,189 is 3 .

LCM of Denominators means LCM of 17,1660 as per the given fractions.

LCM of 17,1660 is 28220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,189

GCF of Fractions 129/17,189/1660 is 3/28220

3 129, 189
43, 63

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

Greatest Common Factor of 129,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,189 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 129,189 . The biggest common factor number is the GCF number.
So the greatest common factor 129,189 is 3.

Lets's calculate LCM of 17,1660

Given numbers has no common factors except 1. So, there LCM is their product i.e 28220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28220

Therefore, the GCF of Fractions 129/17,189/1660 is 3/28220

Least Common Multiple of 17,1660 with GCF Formula

Least Common Multiple of 17,1660 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 17,1660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,1660) = 1

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

GCF(17,1660) x common factors =1 x 1 = 1

LCM(17,1660) = ( 17 × 1660 ) / 1

LCM(17,1660) = 28220 / 1

LCM(17,1660) = 28220


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 129/17, 189/1660

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 129/17, 189/1660?

Answer: GCF of Numerators as per given numbers 129/17, 189/1660 is

GCF of Numerators i.e. for 129,189 is 3

LCM of denominators i.e. for 17,1660 is 28220.

Thus, GCF of Fractions is 3/28220.Finally, GCF of Fractions for 129/17, 189/1660 is 3/28220.