Greatest Common Factor of 156/38, 744/6629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/38, 744/6629

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 156/38,744/6629

Given fractions are 156/38,744/6629

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 156,744

Greatest Common Factor of Numerators i.e. GCF of 156,744 is 12 .

LCM of Denominators means LCM of 38,6629 as per the given fractions.

LCM of 38,6629 is 251902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,744

GCF of Fractions 156/38,744/6629 is 12/251902

2 156, 744
2 78, 372
3 39, 186
13, 62

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

Greatest Common Factor of 156,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,744 By Matching Biggest Common Factor Method

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

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 156,744 . The biggest common factor number is the GCF number.
So the greatest common factor 156,744 is 12.

Lets's calculate LCM of 38,6629

Given numbers has no common factors except 1. So, there LCM is their product i.e 251902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/251902

Therefore, the GCF of Fractions 156/38,744/6629 is 12/251902

Least Common Multiple of 38,6629 with GCF Formula

Least Common Multiple of 38,6629 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 38,6629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6629) = 1

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

GCF(38,6629) x common factors =1 x 1 = 1

LCM(38,6629) = ( 38 × 6629 ) / 1

LCM(38,6629) = 251902 / 1

LCM(38,6629) = 251902


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 156/38, 744/6629

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 156/38, 744/6629?

Answer: GCF of Numerators as per given numbers 156/38, 744/6629 is

GCF of Numerators i.e. for 156,744 is 12

LCM of denominators i.e. for 38,6629 is 251902.

Thus, GCF of Fractions is 12/251902.Finally, GCF of Fractions for 156/38, 744/6629 is 12/251902.