Greatest Common Factor of 129/70, 2691/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/70, 2691/123

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 129/70,2691/123

Given fractions are 129/70,2691/123

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 129,2691

Greatest Common Factor of Numerators i.e. GCF of 129,2691 is 3 .

LCM of Denominators means LCM of 70,123 as per the given fractions.

LCM of 70,123 is 8610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,2691

GCF of Fractions 129/70,2691/123 is 3/8610

3 129, 2691
43, 897

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

Greatest Common Factor of 129,2691 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,2691 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 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1,3,9,13,23,39,69,117,207,299,897,2691

Greatest Common Factor

We found the factors 129,2691 . The biggest common factor number is the GCF number.
So the greatest common factor 129,2691 is 3.

Lets's calculate LCM of 70,123

Given numbers has no common factors except 1. So, there LCM is their product i.e 8610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8610

Therefore, the GCF of Fractions 129/70,2691/123 is 3/8610

Least Common Multiple of 70,123 with GCF Formula

Least Common Multiple of 70,123 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 70,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,123) = 1

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

GCF(70,123) x common factors =1 x 1 = 1

LCM(70,123) = ( 70 × 123 ) / 1

LCM(70,123) = 8610 / 1

LCM(70,123) = 8610


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 129/70, 2691/123

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 129/70, 2691/123?

Answer: GCF of Numerators as per given numbers 129/70, 2691/123 is

GCF of Numerators i.e. for 129,2691 is 3

LCM of denominators i.e. for 70,123 is 8610.

Thus, GCF of Fractions is 3/8610.Finally, GCF of Fractions for 129/70, 2691/123 is 3/8610.