GCD of 389, 223, 242, 782 Calculator

Given Input numbers are 389, 223, 242, 782

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 389, 223, 242, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 223, 242, 782 is 1.

Therefore, GCD of numbers 389, 223, 242, 782 is 1

Given Input Data is 389, 223, 242, 782

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

Prime Factorization of 389 is 389

Prime Factorization of 223 is 223

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 782 is 2 x 17 x 23

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(389, 223) = 86747

GCD(389, 223) = ( 389 x 223 ) / 86747

GCD(389, 223) = 86747 / 86747

GCD(389, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 389, 223, 242, 782 is 1

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1. What is the GCD of 389, 223, 242, 782?

GCD of 389, 223, 242, 782 is 1

2. Where do I get the detailed procedure to find GCD of 389, 223, 242, 782?

You can find a detailed procedure to find GCD of 389, 223, 242, 782 on our page.

3. How to find GCD of 389, 223, 242, 782 on a calculator?

You can find the GCD of 389, 223, 242, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.