GCD of 156, 586, 885, 293 Calculator

Given Input numbers are 156, 586, 885, 293

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 586

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

1, 2, 293, 586

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 156, 586, 885, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 586, 885, 293 is 1.

Therefore, GCD of numbers 156, 586, 885, 293 is 1

Given Input Data is 156, 586, 885, 293

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 586 is 2 x 293

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 293 is 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(156, 586) = 45708

GCD(156, 586) = ( 156 x 586 ) / 45708

GCD(156, 586) = 91416 / 45708

GCD(156, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 885

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

LCM(2, 885) = 1770

GCD(2, 885) = ( 2 x 885 ) / 1770

GCD(2, 885) = 1770 / 1770

GCD(2, 885) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 156, 586, 885, 293 is 1

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1. What is the GCD of 156, 586, 885, 293?

GCD of 156, 586, 885, 293 is 1

2. Where do I get the detailed procedure to find GCD of 156, 586, 885, 293?

You can find a detailed procedure to find GCD of 156, 586, 885, 293 on our page.

3. How to find GCD of 156, 586, 885, 293 on a calculator?

You can find the GCD of 156, 586, 885, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.