GCD of 365, 640, 225 Calculator

Given Input numbers are 365, 640, 225

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 225

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

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

Greatest Common Divisior

We found the divisors of 365, 640, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 640, 225 is 5.

Therefore, GCD of numbers 365, 640, 225 is 5

Given Input Data is 365, 640, 225

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 365 is 5 x 73

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 225 is 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(365, 640) = 46720

GCD(365, 640) = ( 365 x 640 ) / 46720

GCD(365, 640) = 233600 / 46720

GCD(365, 640) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 225

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

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

GCD(5, 225) = 1125 / 225

GCD(5, 225) = 5

GCD of 365, 640, 225 is 5

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1. What is the GCD of 365, 640, 225?

GCD of 365, 640, 225 is 5

2. Where do I get the detailed procedure to find GCD of 365, 640, 225?

You can find a detailed procedure to find GCD of 365, 640, 225 on our page.

3. How to find GCD of 365, 640, 225 on a calculator?

You can find the GCD of 365, 640, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.