Greatest Common Factor of 26/29, 18/88, 60/21, 68/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/29, 18/88, 60/21, 68/272

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 26/29,18/88,60/21,68/272

Given fractions are 26/29,18/88,60/21,68/272

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 26,18,60,68

Greatest Common Factor of Numerators i.e. GCF of 26,18,60,68 is 2 .

LCM of Denominators means LCM of 29,88,21,272 as per the given fractions.

LCM of 29,88,21,272 is 1822128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,18,60,68

GCF of Fractions 26/29,18/88,60/21,68/272 is 2/1822128

2 26, 18, 60, 68
13, 9, 30, 34

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

Greatest Common Factor of 26,18,60,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,18,60,68 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 26,18,60,68 . The biggest common factor number is the GCF number.
So the greatest common factor 26,18,60,68 is 2.

Lets's calculate LCM of 29,88,21,272

2 29, 88, 21, 272
2 29, 44, 21, 136
2 29, 22, 21, 68
29, 11, 21, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 11 x 21 x 34 = 1822128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1822128

Therefore, the GCF of Fractions 26/29,18/88,60/21,68/272 is 2/1822128

Least Common Multiple of 29,88,21,272 with GCF Formula

Least Common Multiple of 29,88,21,272 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 29,88,21,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,88,21,272) = 1

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

GCF(29,88,21,272) x common factors =1 x 8 = 8

LCM(29,88,21,272) = ( 29 × 88 × 21 × 272 ) / 8

LCM(29,88,21,272) = 14577024 / 8

LCM(29,88,21,272) = 1822128


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, 18/88, 60/21, 68/272

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, 18/88, 60/21, 68/272?

Answer: GCF of Numerators as per given numbers 26/29, 18/88, 60/21, 68/272 is

GCF of Numerators i.e. for 26,18,60,68 is 2

LCM of denominators i.e. for 29,88,21,272 is 1822128.

Thus, GCF of Fractions is 2/1822128.Finally, GCF of Fractions for 26/29, 18/88, 60/21, 68/272 is 2/1822128.