GCD of 936, 828, 961, 433 Calculator

Given Input numbers are 936, 828, 961, 433

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 936, 828, 961, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 828, 961, 433 is 1.

Therefore, GCD of numbers 936, 828, 961, 433 is 1

Given Input Data is 936, 828, 961, 433

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 961 is 31 x 31

Prime Factorization of 433 is 433

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(936, 828) = 21528

GCD(936, 828) = ( 936 x 828 ) / 21528

GCD(936, 828) = 775008 / 21528

GCD(936, 828) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 961

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

LCM(36, 961) = 34596

GCD(36, 961) = ( 36 x 961 ) / 34596

GCD(36, 961) = 34596 / 34596

GCD(36, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 936, 828, 961, 433 is 1

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1. What is the GCD of 936, 828, 961, 433?

GCD of 936, 828, 961, 433 is 1

2. Where do I get the detailed procedure to find GCD of 936, 828, 961, 433?

You can find a detailed procedure to find GCD of 936, 828, 961, 433 on our page.

3. How to find GCD of 936, 828, 961, 433 on a calculator?

You can find the GCD of 936, 828, 961, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.