GCD of 493, 486, 612, 341 Calculator

Given Input numbers are 493, 486, 612, 341

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 493, 486, 612, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 486, 612, 341 is 1.

Therefore, GCD of numbers 493, 486, 612, 341 is 1

Given Input Data is 493, 486, 612, 341

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 341 is 11 x 31

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, 486) = 239598

GCD(493, 486) = ( 493 x 486 ) / 239598

GCD(493, 486) = 239598 / 239598

GCD(493, 486) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 493, 486, 612, 341 is 1

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1. What is the GCD of 493, 486, 612, 341?

GCD of 493, 486, 612, 341 is 1

2. Where do I get the detailed procedure to find GCD of 493, 486, 612, 341?

You can find a detailed procedure to find GCD of 493, 486, 612, 341 on our page.

3. How to find GCD of 493, 486, 612, 341 on a calculator?

You can find the GCD of 493, 486, 612, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.