GCD of 402, 642, 36, 865 Calculator

Given Input numbers are 402, 642, 36, 865

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 402, 642, 36, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 642, 36, 865 is 1.

Therefore, GCD of numbers 402, 642, 36, 865 is 1

Given Input Data is 402, 642, 36, 865

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 865 is 5 x 173

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(402, 642) = 43014

GCD(402, 642) = ( 402 x 642 ) / 43014

GCD(402, 642) = 258084 / 43014

GCD(402, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 865

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

LCM(6, 865) = 5190

GCD(6, 865) = ( 6 x 865 ) / 5190

GCD(6, 865) = 5190 / 5190

GCD(6, 865) = 1

GCD of 402, 642, 36, 865 is 1

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1. What is the GCD of 402, 642, 36, 865?

GCD of 402, 642, 36, 865 is 1

2. Where do I get the detailed procedure to find GCD of 402, 642, 36, 865?

You can find a detailed procedure to find GCD of 402, 642, 36, 865 on our page.

3. How to find GCD of 402, 642, 36, 865 on a calculator?

You can find the GCD of 402, 642, 36, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.