GCD of 400, 322, 580, 422 Calculator

Given Input numbers are 400, 322, 580, 422

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

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (400, 322, 580, 422) = 2.

Given numbers are 400, 322, 580, 422

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 322 are 2 x 7 x 23

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 400, 322, 580, 422 is 2.

Given numbers are 400, 322, 580, 422

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

Apply this formula for all numbers.

Step1:

LCM(400, 322) = 64400

GCD(400, 322) = ( 400 x 322 ) / 64400

= 400 / 322

= 400

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 400, 322, 580, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 468, 864, 286
• GCD of 229, 451, 705, 380
• GCD of 627, 289, 970, 234
• GCD of 132, 896, 308, 819
• GCD of 824, 311, 261, 655

Given numbers are 400, 322, 580, 422
The greatest common divisor of numbers 400, 322, 580, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 322, 580, 422 is 2.

1. What is the GCD of 400, 322, 580, 422?

GCD of given numbers 400, 322, 580, 422 is 2

2. How to calculate the greatest common divisor of 400, 322, 580, 422?

We can find the highest common divisor of 400, 322, 580, 422 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 400, 322, 580, 422 i.e 2.

3. How can I use the GCD of 400, 322, 580, 422Calculator?

Out the numbers 400, 322, 580, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.