Greatest Common Factor of 663/225, 935/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/225, 935/108

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 663/225,935/108

Given fractions are 663/225,935/108

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 663,935

Greatest Common Factor of Numerators i.e. GCF of 663,935 is 17 .

LCM of Denominators means LCM of 225,108 as per the given fractions.

LCM of 225,108 is 2700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,935

GCF of Fractions 663/225,935/108 is 17/2700

17 663, 935
39, 55

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 663,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,935 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 663,935 . The biggest common factor number is the GCF number.
So the greatest common factor 663,935 is 17.

Lets's calculate LCM of 225,108

3 225, 108
3 75, 36
25, 12

∴ So the LCM of the given numbers is 3 x 3 x 25 x 12 = 2700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2700

Therefore, the GCF of Fractions 663/225,935/108 is 17/2700

Least Common Multiple of 225,108 with GCF Formula

Least Common Multiple of 225,108 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 225,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,108) = 9

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

GCF(225,108) x common factors =9 x 1 = 9

LCM(225,108) = ( 225 × 108 ) / 9

LCM(225,108) = 24300 / 9

LCM(225,108) = 2700


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 663/225, 935/108

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 663/225, 935/108?

Answer: GCF of Numerators as per given numbers 663/225, 935/108 is

GCF of Numerators i.e. for 663,935 is 17

LCM of denominators i.e. for 225,108 is 2700.

Thus, GCF of Fractions is 17/2700.Finally, GCF of Fractions for 663/225, 935/108 is 17/2700.