GCD of 963, 408, 636 Calculator

Given Input numbers are 963, 408, 636

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 963, 408, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 408, 636 is 3.

Therefore, GCD of numbers 963, 408, 636 is 3

Given Input Data is 963, 408, 636

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(963, 408) = 130968

GCD(963, 408) = ( 963 x 408 ) / 130968

GCD(963, 408) = 392904 / 130968

GCD(963, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 636

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

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

GCD(3, 636) = 1908 / 636

GCD(3, 636) = 3

GCD of 963, 408, 636 is 3

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1. What is the GCD of 963, 408, 636?

GCD of 963, 408, 636 is 3

2. Where do I get the detailed procedure to find GCD of 963, 408, 636?

You can find a detailed procedure to find GCD of 963, 408, 636 on our page.

3. How to find GCD of 963, 408, 636 on a calculator?

You can find the GCD of 963, 408, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.