GCD of 217, 586, 270, 828 Calculator

Given Input numbers are 217, 586, 270, 828

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 217, 586, 270, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 586, 270, 828 is 1.

Therefore, GCD of numbers 217, 586, 270, 828 is 1

Given Input Data is 217, 586, 270, 828

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 586 is 2 x 293

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(217, 586) = 127162

GCD(217, 586) = ( 217 x 586 ) / 127162

GCD(217, 586) = 127162 / 127162

GCD(217, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 217, 586, 270, 828 is 1

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1. What is the GCD of 217, 586, 270, 828?

GCD of 217, 586, 270, 828 is 1

2. Where do I get the detailed procedure to find GCD of 217, 586, 270, 828?

You can find a detailed procedure to find GCD of 217, 586, 270, 828 on our page.

3. How to find GCD of 217, 586, 270, 828 on a calculator?

You can find the GCD of 217, 586, 270, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.