GCD of 852, 793, 72, 585 Calculator

Given Input numbers are 852, 793, 72, 585

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 852, 793, 72, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 793, 72, 585 is 1.

Therefore, GCD of numbers 852, 793, 72, 585 is 1

Given Input Data is 852, 793, 72, 585

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 793 is 13 x 61

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(852, 793) = 675636

GCD(852, 793) = ( 852 x 793 ) / 675636

GCD(852, 793) = 675636 / 675636

GCD(852, 793) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 852, 793, 72, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 175, 69, 213
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• GCD of 719, 578, 94, 962
• GCD of 731, 217, 68, 660
• GCD of 161, 941, 40, 186

1. What is the GCD of 852, 793, 72, 585?

GCD of 852, 793, 72, 585 is 1

2. Where do I get the detailed procedure to find GCD of 852, 793, 72, 585?

You can find a detailed procedure to find GCD of 852, 793, 72, 585 on our page.

3. How to find GCD of 852, 793, 72, 585 on a calculator?

You can find the GCD of 852, 793, 72, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.