GCD of 183, 368, 493, 680 Calculator

Given Input numbers are 183, 368, 493, 680

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 493

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

1, 17, 29, 493

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 183, 368, 493, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 368, 493, 680 is 1.

Therefore, GCD of numbers 183, 368, 493, 680 is 1

Given Input Data is 183, 368, 493, 680

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 493 is 17 x 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(183, 368) = 67344

GCD(183, 368) = ( 183 x 368 ) / 67344

GCD(183, 368) = 67344 / 67344

GCD(183, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 183, 368, 493, 680 is 1

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1. What is the GCD of 183, 368, 493, 680?

GCD of 183, 368, 493, 680 is 1

2. Where do I get the detailed procedure to find GCD of 183, 368, 493, 680?

You can find a detailed procedure to find GCD of 183, 368, 493, 680 on our page.

3. How to find GCD of 183, 368, 493, 680 on a calculator?

You can find the GCD of 183, 368, 493, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.