GCD of 369, 106, 452, 636 Calculator

Given Input numbers are 369, 106, 452, 636

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 369, 106, 452, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 106, 452, 636 is 1.

Therefore, GCD of numbers 369, 106, 452, 636 is 1

Given Input Data is 369, 106, 452, 636

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 106 is 2 x 53

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(369, 106) = 39114

GCD(369, 106) = ( 369 x 106 ) / 39114

GCD(369, 106) = 39114 / 39114

GCD(369, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 369, 106, 452, 636 is 1

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1. What is the GCD of 369, 106, 452, 636?

GCD of 369, 106, 452, 636 is 1

2. Where do I get the detailed procedure to find GCD of 369, 106, 452, 636?

You can find a detailed procedure to find GCD of 369, 106, 452, 636 on our page.

3. How to find GCD of 369, 106, 452, 636 on a calculator?

You can find the GCD of 369, 106, 452, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.