GCD of 216, 570, 36, 116 Calculator

Given Input numbers are 216, 570, 36, 116

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

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 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (216, 570, 36, 116) = 2.

Given numbers are 216, 570, 36, 116

The list of prime factors of all numbers are

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 36 are 2 x 2 x 3 x 3

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 216, 570, 36, 116 is 2.

Given numbers are 216, 570, 36, 116

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

Apply this formula for all numbers.

Step1:

LCM(216, 570) = 20520

GCD(216, 570) = ( 216 x 570 ) / 20520

= 216 / 570

= 216

Step2:

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

= 6 / 36

= 6

Step3:

LCM(6, 116) = 348

GCD(6, 116) = ( 6 x 116 ) / 348

= 6 / 116

= 6

So, Greatest Common Divisor of 216, 570, 36, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 339, 49, 137
• GCD of 331, 374, 35, 219
• GCD of 657, 209, 20, 785
• GCD of 637, 347, 24, 863
• GCD of 595, 583, 25, 535

Given numbers are 216, 570, 36, 116
The greatest common divisor of numbers 216, 570, 36, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 570, 36, 116 is 2.

1. What is the GCD of 216, 570, 36, 116?

GCD of given numbers 216, 570, 36, 116 is 2

2. How to calculate the greatest common divisor of 216, 570, 36, 116?

We can find the highest common divisor of 216, 570, 36, 116 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 216, 570, 36, 116 i.e 2.

3. How can I use the GCD of 216, 570, 36, 116Calculator?

Out the numbers 216, 570, 36, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.