Greatest Common Factor of 2/29, 65/60, 92/122, 129/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/29, 65/60, 92/122, 129/645

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 2/29,65/60,92/122,129/645

Given fractions are 2/29,65/60,92/122,129/645

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 2,65,92,129

Greatest Common Factor of Numerators i.e. GCF of 2,65,92,129 is 1 .

LCM of Denominators means LCM of 29,60,122,645 as per the given fractions.

LCM of 29,60,122,645 is 4564020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,65,92,129

GCF of Fractions 2/29,65/60,92/122,129/645 is 1/4564020

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2,65,92,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,65,92,129 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 129

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

1,3,43,129

Greatest Common Factor

We found the factors 2,65,92,129 . The biggest common factor number is the GCF number.
So the greatest common factor 2,65,92,129 is 1.

Lets's calculate LCM of 29,60,122,645

2 29, 60, 122, 645
3 29, 30, 61, 645
5 29, 10, 61, 215
29, 2, 61, 43

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 2 x 61 x 43 = 4564020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4564020

Therefore, the GCF of Fractions 2/29,65/60,92/122,129/645 is 1/4564020

Least Common Multiple of 29,60,122,645 with GCF Formula

Least Common Multiple of 29,60,122,645 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 29,60,122,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,60,122,645) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(29,60,122,645) x common factors =1 x 30 = 30

LCM(29,60,122,645) = ( 29 × 60 × 122 × 645 ) / 30

LCM(29,60,122,645) = 136920600 / 30

LCM(29,60,122,645) = 4564020


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 2/29, 65/60, 92/122, 129/645

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 2/29, 65/60, 92/122, 129/645?

Answer: GCF of Numerators as per given numbers 2/29, 65/60, 92/122, 129/645 is

GCF of Numerators i.e. for 2,65,92,129 is 1

LCM of denominators i.e. for 29,60,122,645 is 4564020.

Thus, GCF of Fractions is 1/4564020.Finally, GCF of Fractions for 2/29, 65/60, 92/122, 129/645 is 1/4564020.