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GCD of 360, 270, 225 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 360, 270, 225 quickly. Get the easiest ways to solve the greatest common divisor of 360, 270, 225 i.e 45 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 270, 225 with Factoring?

Given Input numbers are 360, 270, 225

In the factoring method, we have to find the divisors of all numbers

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (360, 270, 225) = 45.

Find GCD of 360, 270, 225 using Prime Factorization

Given numbers are 360, 270, 225

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 32 x 51

Therefore, GCD of 360, 270, 225 is 45.

Steps to Calculate GCD of 360, 270, 225 using LCM Formula

Given numbers are 360, 270, 225

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(360, 270) = 1080

GCD(360, 270) = ( 360 x 270 ) / 1080

= 360 / 270

= 360

Step2:

LCM(90, 225) = 450

GCD(90, 225) = ( 90 x 225 ) / 450

= 90 / 225

= 90


So, Greatest Common Divisor of 360, 270, 225 is 45

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 360, 270, 225

Given numbers are 360, 270, 225
The greatest common divisor of numbers 360, 270, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 270, 225 is 45.

FAQs on GCD of 360, 270, 225 Calculator

1. What is the GCD of 360, 270, 225?

GCD of given numbers 360, 270, 225 is 45

2. How to calculate the greatest common divisor of 360, 270, 225?

We can find the highest common divisor of 360, 270, 225 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 360, 270, 225 i.e 45.

3. How can I use the GCD of 360, 270, 225Calculator?

Out the numbers 360, 270, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.