GCD of 612, 493, 338, 411 Calculator

Given Input numbers are 612, 493, 338, 411

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

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 493

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

1, 17, 29, 493

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 612, 493, 338, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 493, 338, 411 is 1.

Therefore, GCD of numbers 612, 493, 338, 411 is 1

Given Input Data is 612, 493, 338, 411

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

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 411 is 3 x 137

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(612, 493) = 17748

GCD(612, 493) = ( 612 x 493 ) / 17748

GCD(612, 493) = 301716 / 17748

GCD(612, 493) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 338

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

LCM(17, 338) = 5746

GCD(17, 338) = ( 17 x 338 ) / 5746

GCD(17, 338) = 5746 / 5746

GCD(17, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 612, 493, 338, 411 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 469, 550, 118
• GCD of 276, 335, 730, 172
• GCD of 532, 973, 117, 396
• GCD of 309, 283, 578, 990
• GCD of 889, 143, 965, 894

1. What is the GCD of 612, 493, 338, 411?

GCD of 612, 493, 338, 411 is 1

2. Where do I get the detailed procedure to find GCD of 612, 493, 338, 411?

You can find a detailed procedure to find GCD of 612, 493, 338, 411 on our page.

3. How to find GCD of 612, 493, 338, 411 on a calculator?

You can find the GCD of 612, 493, 338, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.