GCD of 436, 864, 120, 225 Calculator

Given Input numbers are 436, 864, 120, 225

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 436, 864, 120, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 864, 120, 225 is 1.

Therefore, GCD of numbers 436, 864, 120, 225 is 1

Given Input Data is 436, 864, 120, 225

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

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(436, 864) = 94176

GCD(436, 864) = ( 436 x 864 ) / 94176

GCD(436, 864) = 376704 / 94176

GCD(436, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 225

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

LCM(4, 225) = 900

GCD(4, 225) = ( 4 x 225 ) / 900

GCD(4, 225) = 900 / 900

GCD(4, 225) = 1

GCD of 436, 864, 120, 225 is 1

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1. What is the GCD of 436, 864, 120, 225?

GCD of 436, 864, 120, 225 is 1

2. Where do I get the detailed procedure to find GCD of 436, 864, 120, 225?

You can find a detailed procedure to find GCD of 436, 864, 120, 225 on our page.

3. How to find GCD of 436, 864, 120, 225 on a calculator?

You can find the GCD of 436, 864, 120, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.