Greatest Common Factor of 60/75, 612/93, 233/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/75, 612/93, 233/198

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 60/75,612/93,233/198

Given fractions are 60/75,612/93,233/198

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 60,612,233

Greatest Common Factor of Numerators i.e. GCF of 60,612,233 is 1 .

LCM of Denominators means LCM of 75,93,198 as per the given fractions.

LCM of 75,93,198 is 153450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,612,233

GCF of Fractions 60/75,612/93,233/198 is 1/153450

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

Greatest Common Factor of 60,612,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,612,233 By Matching Biggest Common Factor Method

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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 60,612,233 . The biggest common factor number is the GCF number.
So the greatest common factor 60,612,233 is 1.

Lets's calculate LCM of 75,93,198

3 75, 93, 198
25, 31, 66

∴ So the LCM of the given numbers is 3 x 25 x 31 x 66 = 153450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153450

Therefore, the GCF of Fractions 60/75,612/93,233/198 is 1/153450

Least Common Multiple of 75,93,198 with GCF Formula

Least Common Multiple of 75,93,198 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 75,93,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,93,198) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(75,93,198) x common factors =3 x 3 = 9

LCM(75,93,198) = ( 75 × 93 × 198 ) / 9

LCM(75,93,198) = 1381050 / 9

LCM(75,93,198) = 153450


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 60/75, 612/93, 233/198

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 60/75, 612/93, 233/198?

Answer: GCF of Numerators as per given numbers 60/75, 612/93, 233/198 is

GCF of Numerators i.e. for 60,612,233 is 1

LCM of denominators i.e. for 75,93,198 is 153450.

Thus, GCF of Fractions is 1/153450.Finally, GCF of Fractions for 60/75, 612/93, 233/198 is 1/153450.