GCD of 28, 216, 964, 162 Calculator

Given Input numbers are 28, 216, 964, 162

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 28, 216, 964, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 216, 964, 162 is 2.

Therefore, GCD of numbers 28, 216, 964, 162 is 2

Given Input Data is 28, 216, 964, 162

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 964 is 2 x 2 x 241

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(28, 216) = 1512

GCD(28, 216) = ( 28 x 216 ) / 1512

GCD(28, 216) = 6048 / 1512

GCD(28, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

GCD of 28, 216, 964, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 227, 352, 391
• GCD of 17, 921, 141, 373
• GCD of 62, 259, 140, 106
• GCD of 32, 804, 676, 969
• GCD of 70, 211, 631, 432

1. What is the GCD of 28, 216, 964, 162?

GCD of 28, 216, 964, 162 is 2

2. Where do I get the detailed procedure to find GCD of 28, 216, 964, 162?

You can find a detailed procedure to find GCD of 28, 216, 964, 162 on our page.

3. How to find GCD of 28, 216, 964, 162 on a calculator?

You can find the GCD of 28, 216, 964, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.