Greatest Common Factor of 37/150, 4932/9072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/150, 4932/9072

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 37/150,4932/9072

Given fractions are 37/150,4932/9072

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 37,4932

Greatest Common Factor of Numerators i.e. GCF of 37,4932 is 1 .

LCM of Denominators means LCM of 150,9072 as per the given fractions.

LCM of 150,9072 is 226800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,4932

GCF of Fractions 37/150,4932/9072 is 1/226800

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

Greatest Common Factor of 37,4932 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,4932 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Greatest Common Factor

We found the factors 37,4932 . The biggest common factor number is the GCF number.
So the greatest common factor 37,4932 is 1.

Lets's calculate LCM of 150,9072

2 150, 9072
3 75, 4536
25, 1512

∴ So the LCM of the given numbers is 2 x 3 x 25 x 1512 = 226800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226800

Therefore, the GCF of Fractions 37/150,4932/9072 is 1/226800

Least Common Multiple of 150,9072 with GCF Formula

Least Common Multiple of 150,9072 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 150,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,9072) = 6

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

GCF(150,9072) x common factors =6 x 1 = 6

LCM(150,9072) = ( 150 × 9072 ) / 6

LCM(150,9072) = 1360800 / 6

LCM(150,9072) = 226800


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 37/150, 4932/9072

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 37/150, 4932/9072?

Answer: GCF of Numerators as per given numbers 37/150, 4932/9072 is

GCF of Numerators i.e. for 37,4932 is 1

LCM of denominators i.e. for 150,9072 is 226800.

Thus, GCF of Fractions is 1/226800.Finally, GCF of Fractions for 37/150, 4932/9072 is 1/226800.