GCD of 450, 204, 572, 432 Calculator

Given Input numbers are 450, 204, 572, 432

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (450, 204, 572, 432) = 2.

Given numbers are 450, 204, 572, 432

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 450, 204, 572, 432 is 2.

Given numbers are 450, 204, 572, 432

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

Apply this formula for all numbers.

Step1:

LCM(450, 204) = 15300

GCD(450, 204) = ( 450 x 204 ) / 15300

= 450 / 204

= 450

Step2:

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

= 6 / 572

= 6

Step3:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 450, 204, 572, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 502, 892, 205
• GCD of 621, 822, 602, 585
• GCD of 227, 317, 278, 351
• GCD of 971, 572, 716, 766
• GCD of 966, 136, 351, 316

Given numbers are 450, 204, 572, 432
The greatest common divisor of numbers 450, 204, 572, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 204, 572, 432 is 2.

1. What is the GCD of 450, 204, 572, 432?

GCD of given numbers 450, 204, 572, 432 is 2

2. How to calculate the greatest common divisor of 450, 204, 572, 432?

We can find the highest common divisor of 450, 204, 572, 432 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 450, 204, 572, 432 i.e 2.

3. How can I use the GCD of 450, 204, 572, 432Calculator?

Out the numbers 450, 204, 572, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.