Greatest Common Factor of 45/20, 51/36, 225/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/20, 51/36, 225/437

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 45/20,51/36,225/437

Given fractions are 45/20,51/36,225/437

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 45,51,225

Greatest Common Factor of Numerators i.e. GCF of 45,51,225 is 3 .

LCM of Denominators means LCM of 20,36,437 as per the given fractions.

LCM of 20,36,437 is 78660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,51,225

GCF of Fractions 45/20,51/36,225/437 is 3/78660

3 45, 51, 225
15, 17, 75

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 45,51,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,51,225 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 45,51,225 . The biggest common factor number is the GCF number.
So the greatest common factor 45,51,225 is 3.

Lets's calculate LCM of 20,36,437

2 20, 36, 437
2 10, 18, 437
5, 9, 437

∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 x 437 = 78660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78660

Therefore, the GCF of Fractions 45/20,51/36,225/437 is 3/78660

Least Common Multiple of 20,36,437 with GCF Formula

Least Common Multiple of 20,36,437 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 20,36,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,36,437) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,36,437) x common factors =1 x 4 = 4

LCM(20,36,437) = ( 20 × 36 × 437 ) / 4

LCM(20,36,437) = 314640 / 4

LCM(20,36,437) = 78660


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 45/20, 51/36, 225/437

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 45/20, 51/36, 225/437?

Answer: GCF of Numerators as per given numbers 45/20, 51/36, 225/437 is

GCF of Numerators i.e. for 45,51,225 is 3

LCM of denominators i.e. for 20,36,437 is 78660.

Thus, GCF of Fractions is 3/78660.Finally, GCF of Fractions for 45/20, 51/36, 225/437 is 3/78660.