Greatest Common Factor of 36/122, 156/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/122, 156/208

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 36/122,156/208

Given fractions are 36/122,156/208

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 36,156

Greatest Common Factor of Numerators i.e. GCF of 36,156 is 12 .

LCM of Denominators means LCM of 122,208 as per the given fractions.

LCM of 122,208 is 12688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,156

GCF of Fractions 36/122,156/208 is 12/12688

2 36, 156
2 18, 78
3 9, 39
3, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 36,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,156 By Matching Biggest Common Factor Method

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

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 36,156 . The biggest common factor number is the GCF number.
So the greatest common factor 36,156 is 12.

Lets's calculate LCM of 122,208

2 122, 208
61, 104

∴ So the LCM of the given numbers is 2 x 61 x 104 = 12688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12688

Therefore, the GCF of Fractions 36/122,156/208 is 12/12688

Least Common Multiple of 122,208 with GCF Formula

Least Common Multiple of 122,208 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 122,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,208) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(122,208) x common factors =2 x 1 = 2

LCM(122,208) = ( 122 × 208 ) / 2

LCM(122,208) = 25376 / 2

LCM(122,208) = 12688


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 36/122, 156/208

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 36/122, 156/208?

Answer: GCF of Numerators as per given numbers 36/122, 156/208 is

GCF of Numerators i.e. for 36,156 is 12

LCM of denominators i.e. for 122,208 is 12688.

Thus, GCF of Fractions is 12/12688.Finally, GCF of Fractions for 36/122, 156/208 is 12/12688.