GCD of 400, 687, 996, 933 Calculator

Given Input numbers are 400, 687, 996, 933

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 400, 687, 996, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 687, 996, 933 is 1.

Therefore, GCD of numbers 400, 687, 996, 933 is 1

Given Input Data is 400, 687, 996, 933

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 687 is 3 x 229

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 933 is 3 x 311

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(400, 687) = 274800

GCD(400, 687) = ( 400 x 687 ) / 274800

GCD(400, 687) = 274800 / 274800

GCD(400, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 933

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

LCM(1, 933) = 933

GCD(1, 933) = ( 1 x 933 ) / 933

GCD(1, 933) = 933 / 933

GCD(1, 933) = 1

GCD of 400, 687, 996, 933 is 1

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1. What is the GCD of 400, 687, 996, 933?

GCD of 400, 687, 996, 933 is 1

2. Where do I get the detailed procedure to find GCD of 400, 687, 996, 933?

You can find a detailed procedure to find GCD of 400, 687, 996, 933 on our page.

3. How to find GCD of 400, 687, 996, 933 on a calculator?

You can find the GCD of 400, 687, 996, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.