GCD of 275, 852, 36, 586 Calculator

Given Input numbers are 275, 852, 36, 586

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 586

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

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 275, 852, 36, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 852, 36, 586 is 1.

Therefore, GCD of numbers 275, 852, 36, 586 is 1

Given Input Data is 275, 852, 36, 586

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

Prime Factorization of 275 is 5 x 5 x 11

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 586 is 2 x 293

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(275, 852) = 234300

GCD(275, 852) = ( 275 x 852 ) / 234300

GCD(275, 852) = 234300 / 234300

GCD(275, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 275, 852, 36, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 216, 53, 115
• GCD of 956, 121, 71, 833
• GCD of 404, 370, 54, 325
• GCD of 977, 678, 71, 545
• GCD of 294, 512, 48, 984

1. What is the GCD of 275, 852, 36, 586?

GCD of 275, 852, 36, 586 is 1

2. Where do I get the detailed procedure to find GCD of 275, 852, 36, 586?

You can find a detailed procedure to find GCD of 275, 852, 36, 586 on our page.

3. How to find GCD of 275, 852, 36, 586 on a calculator?

You can find the GCD of 275, 852, 36, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.