GCD of 162, 204, 768, 150 Calculator

Given Input numbers are 162, 204, 768, 150

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (162, 204, 768, 150) = 6.

Given numbers are 162, 204, 768, 150

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 204 are 2 x 2 x 3 x 17

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 162, 204, 768, 150 is 6.

Given numbers are 162, 204, 768, 150

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

Apply this formula for all numbers.

Step1:

LCM(162, 204) = 5508

GCD(162, 204) = ( 162 x 204 ) / 5508

= 162 / 204

= 162

Step2:

LCM(6, 768) = 768

GCD(6, 768) = ( 6 x 768 ) / 768

= 6 / 768

= 6

Step3:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6

So, Greatest Common Divisor of 162, 204, 768, 150 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 489, 786, 769
• GCD of 865, 583, 714, 734
• GCD of 653, 724, 787, 912
• GCD of 536, 905, 674, 114
• GCD of 611, 875, 191, 501

Given numbers are 162, 204, 768, 150
The greatest common divisor of numbers 162, 204, 768, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 204, 768, 150 is 6.

1. What is the GCD of 162, 204, 768, 150?

GCD of given numbers 162, 204, 768, 150 is 6

2. How to calculate the greatest common divisor of 162, 204, 768, 150?

We can find the highest common divisor of 162, 204, 768, 150 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, 204, 768, 150 i.e 6.

3. How can I use the GCD of 162, 204, 768, 150Calculator?

Out the numbers 162, 204, 768, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.