GCD of 162, 108, 216 Calculator

Given Input numbers are 162, 108, 216

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

GCD of numbers is the greatest common divisor

So, the GCD (162, 108, 216) = 54.

Given numbers are 162, 108, 216

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹ x 3³

Therefore, GCD of 162, 108, 216 is 54.

Given numbers are 162, 108, 216

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

Apply this formula for all numbers.

Step1:

LCM(162, 108) = 324

GCD(162, 108) = ( 162 x 108 ) / 324

= 162 / 108

= 162

Step2:

LCM(54, 216) = 216

GCD(54, 216) = ( 54 x 216 ) / 216

= 54 / 216

= 54

So, Greatest Common Divisor of 162, 108, 216 is 54

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 783, 798
• GCD of 802, 867, 343
• GCD of 423, 595, 403
• GCD of 183, 181, 808
• GCD of 484, 923, 940

Given numbers are 162, 108, 216
The greatest common divisor of numbers 162, 108, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 108, 216 is 54.

1. What is the GCD of 162, 108, 216?

GCD of given numbers 162, 108, 216 is 54

2. How to calculate the greatest common divisor of 162, 108, 216?

We can find the highest common divisor of 162, 108, 216 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 162, 108, 216 i.e 54.

3. How can I use the GCD of 162, 108, 216Calculator?

Out the numbers 162, 108, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.