GCD of 564, 445, 590, 360 Calculator

Given Input numbers are 564, 445, 590, 360

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 445, 590, 360) = 1.

Given numbers are 564, 445, 590, 360

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 445 are 5 x 89

Prime factors of 590 are 2 x 5 x 59

Prime factors of 360 are 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 564, 445, 590, 360

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

Apply this formula for all numbers.

Step1:

LCM(564, 445) = 250980

GCD(564, 445) = ( 564 x 445 ) / 250980

= 564 / 445

= 564

Step2:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 564, 445, 590, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 846, 144, 166
• GCD of 822, 823, 432, 482
• GCD of 478, 111, 376, 581
• GCD of 233, 961, 312, 149
• GCD of 762, 563, 696, 133

Given numbers are 564, 445, 590, 360
The greatest common divisor of numbers 564, 445, 590, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 445, 590, 360 is 1.

1. What is the GCD of 564, 445, 590, 360?

GCD of given numbers 564, 445, 590, 360 is 1

2. How to calculate the greatest common divisor of 564, 445, 590, 360?

We can find the highest common divisor of 564, 445, 590, 360 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 564, 445, 590, 360 i.e 1.

3. How can I use the GCD of 564, 445, 590, 360Calculator?

Out the numbers 564, 445, 590, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.