GCD of 493, 137, 39, 461 Calculator

Given Input numbers are 493, 137, 39, 461

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

Divisors of 493

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

1, 17, 29, 493

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 493, 137, 39, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 137, 39, 461 is 1.

Therefore, GCD of numbers 493, 137, 39, 461 is 1

Given Input Data is 493, 137, 39, 461

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 137 is 137

Prime Factorization of 39 is 3 x 13

Prime Factorization of 461 is 461

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(493, 137) = 67541

GCD(493, 137) = ( 493 x 137 ) / 67541

GCD(493, 137) = 67541 / 67541

GCD(493, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 493, 137, 39, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 387, 58, 156
• GCD of 405, 722, 61, 386
• GCD of 667, 298, 86, 866
• GCD of 130, 636, 37, 740
• GCD of 105, 102, 68, 339

1. What is the GCD of 493, 137, 39, 461?

GCD of 493, 137, 39, 461 is 1

2. Where do I get the detailed procedure to find GCD of 493, 137, 39, 461?

You can find a detailed procedure to find GCD of 493, 137, 39, 461 on our page.

3. How to find GCD of 493, 137, 39, 461 on a calculator?

You can find the GCD of 493, 137, 39, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.