GCD of 928, 292, 405, 216 Calculator

Given Input numbers are 928, 292, 405, 216

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

Greatest Common Divisior

We found the divisors of 928, 292, 405, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 292, 405, 216 is 1.

Therefore, GCD of numbers 928, 292, 405, 216 is 1

Given Input Data is 928, 292, 405, 216

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

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(928, 292) = 67744

GCD(928, 292) = ( 928 x 292 ) / 67744

GCD(928, 292) = 270976 / 67744

GCD(928, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 405

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

LCM(4, 405) = 1620

GCD(4, 405) = ( 4 x 405 ) / 1620

GCD(4, 405) = 1620 / 1620

GCD(4, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 928, 292, 405, 216 is 1

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1. What is the GCD of 928, 292, 405, 216?

GCD of 928, 292, 405, 216 is 1

2. Where do I get the detailed procedure to find GCD of 928, 292, 405, 216?

You can find a detailed procedure to find GCD of 928, 292, 405, 216 on our page.

3. How to find GCD of 928, 292, 405, 216 on a calculator?

You can find the GCD of 928, 292, 405, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.