GCD of 162, 396, 18, 495 Calculator

Given Input numbers are 162, 396, 18, 495

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (162, 396, 18, 495) = 9.

Given numbers are 162, 396, 18, 495

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 18 are 2 x 3 x 3

Prime factors of 495 are 3 x 3 x 5 x 11

The highest common occurrence is 3²

Therefore, GCD of 162, 396, 18, 495 is 9.

Given numbers are 162, 396, 18, 495

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

Apply this formula for all numbers.

Step1:

LCM(162, 396) = 3564

GCD(162, 396) = ( 162 x 396 ) / 3564

= 162 / 396

= 162

Step2:

LCM(18, 18) = 18

GCD(18, 18) = ( 18 x 18 ) / 18

= 18 / 18

= 18

Step3:

LCM(18, 495) = 990

GCD(18, 495) = ( 18 x 495 ) / 990

= 18 / 495

= 18

So, Greatest Common Divisor of 162, 396, 18, 495 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 123, 69, 749
• GCD of 612, 822, 74, 819
• GCD of 491, 707, 27, 531
• GCD of 403, 283, 26, 323
• GCD of 141, 125, 14, 851

Given numbers are 162, 396, 18, 495
The greatest common divisor of numbers 162, 396, 18, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 396, 18, 495 is 9.

1. What is the GCD of 162, 396, 18, 495?

GCD of given numbers 162, 396, 18, 495 is 9

2. How to calculate the greatest common divisor of 162, 396, 18, 495?

We can find the highest common divisor of 162, 396, 18, 495 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, 396, 18, 495 i.e 9.

3. How can I use the GCD of 162, 396, 18, 495Calculator?

Out the numbers 162, 396, 18, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.