GCD of 472, 256, 465 Calculator

Given Input numbers are 472, 256, 465

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 472, 256, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 256, 465 is 1.

Therefore, GCD of numbers 472, 256, 465 is 1

Given Input Data is 472, 256, 465

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 465 is 3 x 5 x 31

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(472, 256) = 15104

GCD(472, 256) = ( 472 x 256 ) / 15104

GCD(472, 256) = 120832 / 15104

GCD(472, 256) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 465

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

LCM(8, 465) = 3720

GCD(8, 465) = ( 8 x 465 ) / 3720

GCD(8, 465) = 3720 / 3720

GCD(8, 465) = 1

GCD of 472, 256, 465 is 1

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1. What is the GCD of 472, 256, 465?

GCD of 472, 256, 465 is 1

2. Where do I get the detailed procedure to find GCD of 472, 256, 465?

You can find a detailed procedure to find GCD of 472, 256, 465 on our page.

3. How to find GCD of 472, 256, 465 on a calculator?

You can find the GCD of 472, 256, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.