GCD of 963, 456, 628, 732 Calculator

Given Input numbers are 963, 456, 628, 732

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 963, 456, 628, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 456, 628, 732 is 1.

Therefore, GCD of numbers 963, 456, 628, 732 is 1

Given Input Data is 963, 456, 628, 732

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(963, 456) = 146376

GCD(963, 456) = ( 963 x 456 ) / 146376

GCD(963, 456) = 439128 / 146376

GCD(963, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 628

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

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

GCD(3, 628) = 1884 / 1884

GCD(3, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 963, 456, 628, 732 is 1

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1. What is the GCD of 963, 456, 628, 732?

GCD of 963, 456, 628, 732 is 1

2. Where do I get the detailed procedure to find GCD of 963, 456, 628, 732?

You can find a detailed procedure to find GCD of 963, 456, 628, 732 on our page.

3. How to find GCD of 963, 456, 628, 732 on a calculator?

You can find the GCD of 963, 456, 628, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.