Greatest Common Factor of 66/32, 60/90, 12/39, 31/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/32, 60/90, 12/39, 31/225

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 66/32,60/90,12/39,31/225

Given fractions are 66/32,60/90,12/39,31/225

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 66,60,12,31

Greatest Common Factor of Numerators i.e. GCF of 66,60,12,31 is 1 .

LCM of Denominators means LCM of 32,90,39,225 as per the given fractions.

LCM of 32,90,39,225 is 93600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,60,12,31

GCF of Fractions 66/32,60/90,12/39,31/225 is 1/93600

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

Greatest Common Factor of 66,60,12,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,12,31 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 66,60,12,31 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,12,31 is 1.

Lets's calculate LCM of 32,90,39,225

2 32, 90, 39, 225
3 16, 45, 39, 225
3 16, 15, 13, 75
5 16, 5, 13, 25
16, 1, 13, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 16 x 1 x 13 x 5 = 93600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93600

Therefore, the GCF of Fractions 66/32,60/90,12/39,31/225 is 1/93600

Least Common Multiple of 32,90,39,225 with GCF Formula

Least Common Multiple of 32,90,39,225 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 32,90,39,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,90,39,225) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(32,90,39,225) x common factors =1 x 270 = 270

LCM(32,90,39,225) = ( 32 × 90 × 39 × 225 ) / 270

LCM(32,90,39,225) = 25272000 / 270

LCM(32,90,39,225) = 93600


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 66/32, 60/90, 12/39, 31/225

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 66/32, 60/90, 12/39, 31/225?

Answer: GCF of Numerators as per given numbers 66/32, 60/90, 12/39, 31/225 is

GCF of Numerators i.e. for 66,60,12,31 is 1

LCM of denominators i.e. for 32,90,39,225 is 93600.

Thus, GCF of Fractions is 1/93600.Finally, GCF of Fractions for 66/32, 60/90, 12/39, 31/225 is 1/93600.