GCD of 32, 417, 565, 363 Calculator

Given Input numbers are 32, 417, 565, 363

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 32, 417, 565, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 417, 565, 363 is 1.

Therefore, GCD of numbers 32, 417, 565, 363 is 1

Given Input Data is 32, 417, 565, 363

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 417 is 3 x 139

Prime Factorization of 565 is 5 x 113

Prime Factorization of 363 is 3 x 11 x 11

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(32, 417) = 13344

GCD(32, 417) = ( 32 x 417 ) / 13344

GCD(32, 417) = 13344 / 13344

GCD(32, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 32, 417, 565, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 955, 622, 768
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• GCD of 95, 642, 811, 527
• GCD of 40, 638, 758, 934
• GCD of 54, 117, 756, 246

1. What is the GCD of 32, 417, 565, 363?

GCD of 32, 417, 565, 363 is 1

2. Where do I get the detailed procedure to find GCD of 32, 417, 565, 363?

You can find a detailed procedure to find GCD of 32, 417, 565, 363 on our page.

3. How to find GCD of 32, 417, 565, 363 on a calculator?

You can find the GCD of 32, 417, 565, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.