GCD of 756, 816, 33, 162 Calculator

Given Input numbers are 756, 816, 33, 162

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

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

Greatest Common Divisior

We found the divisors of 756, 816, 33, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 816, 33, 162 is 3.

Therefore, GCD of numbers 756, 816, 33, 162 is 3

Given Input Data is 756, 816, 33, 162

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 33 is 3 x 11

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(756, 816) = 51408

GCD(756, 816) = ( 756 x 816 ) / 51408

GCD(756, 816) = 616896 / 51408

GCD(756, 816) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 33

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

LCM(12, 33) = 132

GCD(12, 33) = ( 12 x 33 ) / 132

GCD(12, 33) = 396 / 132

GCD(12, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

GCD of 756, 816, 33, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 777, 22, 274
• GCD of 714, 199, 57, 116
• GCD of 137, 447, 44, 315
• GCD of 763, 397, 64, 283
• GCD of 589, 792, 65, 953

1. What is the GCD of 756, 816, 33, 162?

GCD of 756, 816, 33, 162 is 3

2. Where do I get the detailed procedure to find GCD of 756, 816, 33, 162?

You can find a detailed procedure to find GCD of 756, 816, 33, 162 on our page.

3. How to find GCD of 756, 816, 33, 162 on a calculator?

You can find the GCD of 756, 816, 33, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.