GCD of 58, 164, 493, 156 Calculator

Given Input numbers are 58, 164, 493, 156

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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

Greatest Common Divisior

We found the divisors of 58, 164, 493, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 164, 493, 156 is 1.

Therefore, GCD of numbers 58, 164, 493, 156 is 1

Given Input Data is 58, 164, 493, 156

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 493 is 17 x 29

Prime Factorization of 156 is 2 x 2 x 3 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(58, 164) = 4756

GCD(58, 164) = ( 58 x 164 ) / 4756

GCD(58, 164) = 9512 / 4756

GCD(58, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 58, 164, 493, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 118, 893, 585
• GCD of 30, 731, 667, 506
• GCD of 31, 626, 427, 720
• GCD of 10, 334, 752, 772
• GCD of 56, 608, 737, 526

1. What is the GCD of 58, 164, 493, 156?

GCD of 58, 164, 493, 156 is 1

2. Where do I get the detailed procedure to find GCD of 58, 164, 493, 156?

You can find a detailed procedure to find GCD of 58, 164, 493, 156 on our page.

3. How to find GCD of 58, 164, 493, 156 on a calculator?

You can find the GCD of 58, 164, 493, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.