GCD of 564, 507, 216, 912 Calculator

Given Input numbers are 564, 507, 216, 912

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (564, 507, 216, 912) = 3.

Given numbers are 564, 507, 216, 912

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

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

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 564, 507, 216, 912 is 3.

Given numbers are 564, 507, 216, 912

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

Apply this formula for all numbers.

Step1:

LCM(564, 507) = 95316

GCD(564, 507) = ( 564 x 507 ) / 95316

= 564 / 507

= 564

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 564, 507, 216, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 782, 740, 888
• GCD of 656, 532, 432, 657
• GCD of 321, 870, 778, 518
• GCD of 754, 920, 188, 308
• GCD of 654, 648, 964, 476

Given numbers are 564, 507, 216, 912
The greatest common divisor of numbers 564, 507, 216, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 507, 216, 912 is 3.

1. What is the GCD of 564, 507, 216, 912?

GCD of given numbers 564, 507, 216, 912 is 3

2. How to calculate the greatest common divisor of 564, 507, 216, 912?

We can find the highest common divisor of 564, 507, 216, 912 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, 507, 216, 912 i.e 3.

3. How can I use the GCD of 564, 507, 216, 912Calculator?

Out the numbers 564, 507, 216, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.