GCD of 360, 432, 578, 645 Calculator

Given Input numbers are 360, 432, 578, 645

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (360, 432, 578, 645) = 1.

Given numbers are 360, 432, 578, 645

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 578 are 2 x 17 x 17

Prime factors of 645 are 3 x 5 x 43

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

Given numbers are 360, 432, 578, 645

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

Apply this formula for all numbers.

Step1:

LCM(360, 432) = 2160

GCD(360, 432) = ( 360 x 432 ) / 2160

= 360 / 432

= 360

Step2:

LCM(72, 578) = 20808

GCD(72, 578) = ( 72 x 578 ) / 20808

= 72 / 578

= 72

Step3:

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

= 2 / 645

= 2

So, Greatest Common Divisor of 360, 432, 578, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 916, 314, 826
• GCD of 819, 120, 847, 599
• GCD of 715, 182, 821, 333
• GCD of 640, 663, 120, 501
• GCD of 117, 731, 983, 180

Given numbers are 360, 432, 578, 645
The greatest common divisor of numbers 360, 432, 578, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 432, 578, 645 is 1.

1. What is the GCD of 360, 432, 578, 645?

GCD of given numbers 360, 432, 578, 645 is 1

2. How to calculate the greatest common divisor of 360, 432, 578, 645?

We can find the highest common divisor of 360, 432, 578, 645 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 360, 432, 578, 645 i.e 1.

3. How can I use the GCD of 360, 432, 578, 645Calculator?

Out the numbers 360, 432, 578, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.