GCD of 400, 459, 599, 720 Calculator

Given Input numbers are 400, 459, 599, 720

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 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 599 :

The positive integer divisors of 599 that completely divides 599 are.

1, 599

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (400, 459, 599, 720) = 1.

Given numbers are 400, 459, 599, 720

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 459 are 3 x 3 x 3 x 17

Prime factors of 599 are 599

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 400, 459, 599, 720

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

Apply this formula for all numbers.

Step1:

LCM(400, 459) = 183600

GCD(400, 459) = ( 400 x 459 ) / 183600

= 400 / 459

= 400

Step2:

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

= 1 / 599

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 400, 459, 599, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 434, 454, 365
• GCD of 743, 801, 811, 692
• GCD of 231, 343, 199, 619
• GCD of 788, 627, 865, 898
• GCD of 156, 783, 184, 604

Given numbers are 400, 459, 599, 720
The greatest common divisor of numbers 400, 459, 599, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 459, 599, 720 is 1.

1. What is the GCD of 400, 459, 599, 720?

GCD of given numbers 400, 459, 599, 720 is 1

2. How to calculate the greatest common divisor of 400, 459, 599, 720?

We can find the highest common divisor of 400, 459, 599, 720 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, 459, 599, 720 i.e 1.

3. How can I use the GCD of 400, 459, 599, 720Calculator?

Out the numbers 400, 459, 599, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.