GCD of 966, 662, 405, 636 Calculator

Given Input numbers are 966, 662, 405, 636

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 966, 662, 405, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 662, 405, 636 is 1.

Therefore, GCD of numbers 966, 662, 405, 636 is 1

Given Input Data is 966, 662, 405, 636

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 662 is 2 x 331

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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(966, 662) = 319746

GCD(966, 662) = ( 966 x 662 ) / 319746

GCD(966, 662) = 639492 / 319746

GCD(966, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 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 966, 662, 405, 636 is 1

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1. What is the GCD of 966, 662, 405, 636?

GCD of 966, 662, 405, 636 is 1

2. Where do I get the detailed procedure to find GCD of 966, 662, 405, 636?

You can find a detailed procedure to find GCD of 966, 662, 405, 636 on our page.

3. How to find GCD of 966, 662, 405, 636 on a calculator?

You can find the GCD of 966, 662, 405, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.