GCD of 400, 456, 570, 329 Calculator

Given Input numbers are 400, 456, 570, 329

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

GCD of numbers is the greatest common divisor

So, the GCD (400, 456, 570, 329) = 1.

Given numbers are 400, 456, 570, 329

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 329 are 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 456, 570, 329

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

Apply this formula for all numbers.

Step1:

LCM(400, 456) = 22800

GCD(400, 456) = ( 400 x 456 ) / 22800

= 400 / 456

= 400

Step2:

LCM(8, 570) = 2280

GCD(8, 570) = ( 8 x 570 ) / 2280

= 8 / 570

= 8

Step3:

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

= 2 / 329

= 2

So, Greatest Common Divisor of 400, 456, 570, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 361, 654, 867
• GCD of 306, 486, 672, 984
• GCD of 575, 318, 769, 458
• GCD of 967, 264, 449, 980
• GCD of 488, 317, 480, 502

Given numbers are 400, 456, 570, 329
The greatest common divisor of numbers 400, 456, 570, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 456, 570, 329 is 1.

1. What is the GCD of 400, 456, 570, 329?

GCD of given numbers 400, 456, 570, 329 is 1

2. How to calculate the greatest common divisor of 400, 456, 570, 329?

We can find the highest common divisor of 400, 456, 570, 329 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, 456, 570, 329 i.e 1.

3. How can I use the GCD of 400, 456, 570, 329Calculator?

Out the numbers 400, 456, 570, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.