Greatest Common Factor of 42/36, 100/33, 626/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/36, 100/33, 626/942

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 42/36,100/33,626/942

Given fractions are 42/36,100/33,626/942

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 42,100,626

Greatest Common Factor of Numerators i.e. GCF of 42,100,626 is 2 .

LCM of Denominators means LCM of 36,33,942 as per the given fractions.

LCM of 36,33,942 is 62172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,100,626

GCF of Fractions 42/36,100/33,626/942 is 2/62172

2 42, 100, 626
21, 50, 313

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

Greatest Common Factor of 42,100,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,100,626 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 42,100,626 . The biggest common factor number is the GCF number.
So the greatest common factor 42,100,626 is 2.

Lets's calculate LCM of 36,33,942

2 36, 33, 942
3 18, 33, 471
6, 11, 157

∴ So the LCM of the given numbers is 2 x 3 x 6 x 11 x 157 = 62172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62172

Therefore, the GCF of Fractions 42/36,100/33,626/942 is 2/62172

Least Common Multiple of 36,33,942 with GCF Formula

Least Common Multiple of 36,33,942 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 36,33,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,33,942) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(36,33,942) x common factors =3 x 6 = 18

LCM(36,33,942) = ( 36 × 33 × 942 ) / 18

LCM(36,33,942) = 1119096 / 18

LCM(36,33,942) = 62172


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 42/36, 100/33, 626/942

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 42/36, 100/33, 626/942?

Answer: GCF of Numerators as per given numbers 42/36, 100/33, 626/942 is

GCF of Numerators i.e. for 42,100,626 is 2

LCM of denominators i.e. for 36,33,942 is 62172.

Thus, GCF of Fractions is 2/62172.Finally, GCF of Fractions for 42/36, 100/33, 626/942 is 2/62172.