GCD of 486, 213, 656, 296 Calculator

Given Input numbers are 486, 213, 656, 296

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 486, 213, 656, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 213, 656, 296 is 1.

Therefore, GCD of numbers 486, 213, 656, 296 is 1

Given Input Data is 486, 213, 656, 296

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 213 is 3 x 71

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(486, 213) = 34506

GCD(486, 213) = ( 486 x 213 ) / 34506

GCD(486, 213) = 103518 / 34506

GCD(486, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 656

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

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

GCD(3, 656) = 1968 / 1968

GCD(3, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 486, 213, 656, 296 is 1

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1. What is the GCD of 486, 213, 656, 296?

GCD of 486, 213, 656, 296 is 1

2. Where do I get the detailed procedure to find GCD of 486, 213, 656, 296?

You can find a detailed procedure to find GCD of 486, 213, 656, 296 on our page.

3. How to find GCD of 486, 213, 656, 296 on a calculator?

You can find the GCD of 486, 213, 656, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.