GCD of 564, 216, 570, 888 Calculator

Given Input numbers are 564, 216, 570, 888

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

GCD of numbers is the greatest common divisor

So, the GCD (564, 216, 570, 888) = 6.

Given numbers are 564, 216, 570, 888

The list of prime factors of all numbers are

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 564, 216, 570, 888 is 6.

Given numbers are 564, 216, 570, 888

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

Apply this formula for all numbers.

Step1:

LCM(564, 216) = 10152

GCD(564, 216) = ( 564 x 216 ) / 10152

= 564 / 216

= 564

Step2:

LCM(12, 570) = 1140

GCD(12, 570) = ( 12 x 570 ) / 1140

= 12 / 570

= 12

Step3:

LCM(6, 888) = 888

GCD(6, 888) = ( 6 x 888 ) / 888

= 6 / 888

= 6

So, Greatest Common Divisor of 564, 216, 570, 888 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 947, 106, 839
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Given numbers are 564, 216, 570, 888
The greatest common divisor of numbers 564, 216, 570, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 216, 570, 888 is 6.

1. What is the GCD of 564, 216, 570, 888?

GCD of given numbers 564, 216, 570, 888 is 6

2. How to calculate the greatest common divisor of 564, 216, 570, 888?

We can find the highest common divisor of 564, 216, 570, 888 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, 216, 570, 888 i.e 6.

3. How can I use the GCD of 564, 216, 570, 888Calculator?

Out the numbers 564, 216, 570, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.