GCD of 845, 585, 30, 352 Calculator

Given Input numbers are 845, 585, 30, 352

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

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

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 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

Greatest Common Divisior

We found the divisors of 845, 585, 30, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 585, 30, 352 is 1.

Therefore, GCD of numbers 845, 585, 30, 352 is 1

Given Input Data is 845, 585, 30, 352

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

Prime Factorization of 845 is 5 x 13 x 13

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

Prime Factorization of 30 is 2 x 3 x 5

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

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(845, 585) = 7605

GCD(845, 585) = ( 845 x 585 ) / 7605

GCD(845, 585) = 494325 / 7605

GCD(845, 585) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 30

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

LCM(65, 30) = 390

GCD(65, 30) = ( 65 x 30 ) / 390

GCD(65, 30) = 1950 / 390

GCD(65, 30) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 352

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

LCM(5, 352) = 1760

GCD(5, 352) = ( 5 x 352 ) / 1760

GCD(5, 352) = 1760 / 1760

GCD(5, 352) = 1

GCD of 845, 585, 30, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 998, 57, 626
• GCD of 930, 675, 73, 316
• GCD of 103, 675, 55, 345
• GCD of 313, 932, 21, 971
• GCD of 867, 106, 16, 438

1. What is the GCD of 845, 585, 30, 352?

GCD of 845, 585, 30, 352 is 1

2. Where do I get the detailed procedure to find GCD of 845, 585, 30, 352?

You can find a detailed procedure to find GCD of 845, 585, 30, 352 on our page.

3. How to find GCD of 845, 585, 30, 352 on a calculator?

You can find the GCD of 845, 585, 30, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.