GCD of 579, 933, 65, 400 Calculator

Given Input numbers are 579, 933, 65, 400

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 933

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

1, 3, 311, 933

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 579, 933, 65, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 933, 65, 400 is 1.

Therefore, GCD of numbers 579, 933, 65, 400 is 1

Given Input Data is 579, 933, 65, 400

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 933 is 3 x 311

Prime Factorization of 65 is 5 x 13

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(579, 933) = 180069

GCD(579, 933) = ( 579 x 933 ) / 180069

GCD(579, 933) = 540207 / 180069

GCD(579, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 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 579, 933, 65, 400 is 1

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1. What is the GCD of 579, 933, 65, 400?

GCD of 579, 933, 65, 400 is 1

2. Where do I get the detailed procedure to find GCD of 579, 933, 65, 400?

You can find a detailed procedure to find GCD of 579, 933, 65, 400 on our page.

3. How to find GCD of 579, 933, 65, 400 on a calculator?

You can find the GCD of 579, 933, 65, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.