GCD of 512, 963, 37, 400 Calculator

Given Input numbers are 512, 963, 37, 400

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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

Greatest Common Divisior

We found the divisors of 512, 963, 37, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 963, 37, 400 is 1.

Therefore, GCD of numbers 512, 963, 37, 400 is 1

Given Input Data is 512, 963, 37, 400

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 37 is 37

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

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(512, 963) = 493056

GCD(512, 963) = ( 512 x 963 ) / 493056

GCD(512, 963) = 493056 / 493056

GCD(512, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 512, 963, 37, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 726, 98, 569
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• GCD of 459, 325, 13, 679
• GCD of 768, 583, 72, 608

1. What is the GCD of 512, 963, 37, 400?

GCD of 512, 963, 37, 400 is 1

2. Where do I get the detailed procedure to find GCD of 512, 963, 37, 400?

You can find a detailed procedure to find GCD of 512, 963, 37, 400 on our page.

3. How to find GCD of 512, 963, 37, 400 on a calculator?

You can find the GCD of 512, 963, 37, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.