GCD of 408, 571, 216, 400 Calculator

Given Input numbers are 408, 571, 216, 400

In the factoring method, we have to find the divisors of all numbers

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 571 :

The positive integer divisors of 571 that completely divides 571 are.

1, 571

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 571, 216, 400) = 1.

Given numbers are 408, 571, 216, 400

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 571 are 571

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 400 are 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

Given numbers are 408, 571, 216, 400

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(408, 571) = 232968

GCD(408, 571) = ( 408 x 571 ) / 232968

= 408 / 571

= 408

Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 408, 571, 216, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 189, 902, 537
• GCD of 414, 833, 171, 879
• GCD of 978, 406, 799, 795
• GCD of 664, 347, 201, 296
• GCD of 710, 279, 195, 967

Given numbers are 408, 571, 216, 400
The greatest common divisor of numbers 408, 571, 216, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 571, 216, 400 is 1.

1. What is the GCD of 408, 571, 216, 400?

GCD of given numbers 408, 571, 216, 400 is 1

2. How to calculate the greatest common divisor of 408, 571, 216, 400?

We can find the highest common divisor of 408, 571, 216, 400 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 408, 571, 216, 400 i.e 1.

3. How can I use the GCD of 408, 571, 216, 400Calculator?

Out the numbers 408, 571, 216, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.