GCD of 217, 352, 30, 585 Calculator

Given Input numbers are 217, 352, 30, 585

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 217, 352, 30, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 352, 30, 585 is 1.

Therefore, GCD of numbers 217, 352, 30, 585 is 1

Given Input Data is 217, 352, 30, 585

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 352) = 76384

GCD(217, 352) = ( 217 x 352 ) / 76384

GCD(217, 352) = 76384 / 76384

GCD(217, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 217, 352, 30, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 476, 59, 788
• GCD of 384, 829, 58, 640
• GCD of 645, 227, 43, 850
• GCD of 735, 698, 36, 640
• GCD of 134, 606, 77, 124

1. What is the GCD of 217, 352, 30, 585?

GCD of 217, 352, 30, 585 is 1

2. Where do I get the detailed procedure to find GCD of 217, 352, 30, 585?

You can find a detailed procedure to find GCD of 217, 352, 30, 585 on our page.

3. How to find GCD of 217, 352, 30, 585 on a calculator?

You can find the GCD of 217, 352, 30, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.