Greatest Common Factor of 116/36, 106/29, 210/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/36, 106/29, 210/75

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 116/36,106/29,210/75

Given fractions are 116/36,106/29,210/75

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 116,106,210

Greatest Common Factor of Numerators i.e. GCF of 116,106,210 is 2 .

LCM of Denominators means LCM of 36,29,75 as per the given fractions.

LCM of 36,29,75 is 26100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,106,210

GCF of Fractions 116/36,106/29,210/75 is 2/26100

2 116, 106, 210
58, 53, 105

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

Greatest Common Factor of 116,106,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,106,210 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 116,106,210 . The biggest common factor number is the GCF number.
So the greatest common factor 116,106,210 is 2.

Lets's calculate LCM of 36,29,75

3 36, 29, 75
12, 29, 25

∴ So the LCM of the given numbers is 3 x 12 x 29 x 25 = 26100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26100

Therefore, the GCF of Fractions 116/36,106/29,210/75 is 2/26100

Least Common Multiple of 36,29,75 with GCF Formula

Least Common Multiple of 36,29,75 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 36,29,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,29,75) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,29,75) x common factors =1 x 3 = 3

LCM(36,29,75) = ( 36 × 29 × 75 ) / 3

LCM(36,29,75) = 78300 / 3

LCM(36,29,75) = 26100


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 116/36, 106/29, 210/75

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 116/36, 106/29, 210/75?

Answer: GCF of Numerators as per given numbers 116/36, 106/29, 210/75 is

GCF of Numerators i.e. for 116,106,210 is 2

LCM of denominators i.e. for 36,29,75 is 26100.

Thus, GCF of Fractions is 2/26100.Finally, GCF of Fractions for 116/36, 106/29, 210/75 is 2/26100.