GCD of 400, 509, 934, 561 Calculator

Given Input numbers are 400, 509, 934, 561

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 400, 509, 934, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 509, 934, 561 is 1.

Therefore, GCD of numbers 400, 509, 934, 561 is 1

Given Input Data is 400, 509, 934, 561

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 509 is 509

Prime Factorization of 934 is 2 x 467

Prime Factorization of 561 is 3 x 11 x 17

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, 509) = 203600

GCD(400, 509) = ( 400 x 509 ) / 203600

GCD(400, 509) = 203600 / 203600

GCD(400, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 934

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

LCM(1, 934) = 934

GCD(1, 934) = ( 1 x 934 ) / 934

GCD(1, 934) = 934 / 934

GCD(1, 934) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 400, 509, 934, 561 is 1

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1. What is the GCD of 400, 509, 934, 561?

GCD of 400, 509, 934, 561 is 1

2. Where do I get the detailed procedure to find GCD of 400, 509, 934, 561?

You can find a detailed procedure to find GCD of 400, 509, 934, 561 on our page.

3. How to find GCD of 400, 509, 934, 561 on a calculator?

You can find the GCD of 400, 509, 934, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.