Greatest Common Factor of 29/26, 40/28, 56/78, 36/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/26, 40/28, 56/78, 36/152

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 29/26,40/28,56/78,36/152

Given fractions are 29/26,40/28,56/78,36/152

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 29,40,56,36

Greatest Common Factor of Numerators i.e. GCF of 29,40,56,36 is 1 .

LCM of Denominators means LCM of 26,28,78,152 as per the given fractions.

LCM of 26,28,78,152 is 41496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,40,56,36

GCF of Fractions 29/26,40/28,56/78,36/152 is 1/41496

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

Greatest Common Factor of 29,40,56,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,40,56,36 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 29,40,56,36 . The biggest common factor number is the GCF number.
So the greatest common factor 29,40,56,36 is 1.

Lets's calculate LCM of 26,28,78,152

2 26, 28, 78, 152
2 13, 14, 39, 76
13 13, 7, 39, 38
1, 7, 3, 38

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 7 x 3 x 38 = 41496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41496

Therefore, the GCF of Fractions 29/26,40/28,56/78,36/152 is 1/41496

Least Common Multiple of 26,28,78,152 with GCF Formula

Least Common Multiple of 26,28,78,152 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 26,28,78,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,28,78,152) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(26,28,78,152) x common factors =2 x 104 = 208

LCM(26,28,78,152) = ( 26 × 28 × 78 × 152 ) / 208

LCM(26,28,78,152) = 8631168 / 208

LCM(26,28,78,152) = 41496


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 29/26, 40/28, 56/78, 36/152

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 29/26, 40/28, 56/78, 36/152?

Answer: GCF of Numerators as per given numbers 29/26, 40/28, 56/78, 36/152 is

GCF of Numerators i.e. for 29,40,56,36 is 1

LCM of denominators i.e. for 26,28,78,152 is 41496.

Thus, GCF of Fractions is 1/41496.Finally, GCF of Fractions for 29/26, 40/28, 56/78, 36/152 is 1/41496.