Greatest Common Factor of 26/29, 58/68, 14/80, 30/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/29, 58/68, 14/80, 30/342

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 26/29,58/68,14/80,30/342

Given fractions are 26/29,58/68,14/80,30/342

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 26,58,14,30

Greatest Common Factor of Numerators i.e. GCF of 26,58,14,30 is 2 .

LCM of Denominators means LCM of 29,68,80,342 as per the given fractions.

LCM of 29,68,80,342 is 6744240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,58,14,30

GCF of Fractions 26/29,58/68,14/80,30/342 is 2/6744240

2 26, 58, 14, 30
13, 29, 7, 15

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,58,14,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,58,14,30 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 26,58,14,30 . The biggest common factor number is the GCF number.
So the greatest common factor 26,58,14,30 is 2.

Lets's calculate LCM of 29,68,80,342

2 29, 68, 80, 342
2 29, 34, 40, 171
29, 17, 20, 171

∴ So the LCM of the given numbers is 2 x 2 x 29 x 17 x 20 x 171 = 6744240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6744240

Therefore, the GCF of Fractions 26/29,58/68,14/80,30/342 is 2/6744240

Least Common Multiple of 29,68,80,342 with GCF Formula

Least Common Multiple of 29,68,80,342 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 29,68,80,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,68,80,342) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(29,68,80,342) x common factors =1 x 8 = 8

LCM(29,68,80,342) = ( 29 × 68 × 80 × 342 ) / 8

LCM(29,68,80,342) = 53953920 / 8

LCM(29,68,80,342) = 6744240


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 26/29, 58/68, 14/80, 30/342

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 26/29, 58/68, 14/80, 30/342?

Answer: GCF of Numerators as per given numbers 26/29, 58/68, 14/80, 30/342 is

GCF of Numerators i.e. for 26,58,14,30 is 2

LCM of denominators i.e. for 29,68,80,342 is 6744240.

Thus, GCF of Fractions is 2/6744240.Finally, GCF of Fractions for 26/29, 58/68, 14/80, 30/342 is 2/6744240.