GCD of 347, 682, 590, 321 Calculator

Given Input numbers are 347, 682, 590, 321

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 347, 682, 590, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 682, 590, 321 is 1.

Therefore, GCD of numbers 347, 682, 590, 321 is 1

Given Input Data is 347, 682, 590, 321

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

Prime Factorization of 347 is 347

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 321 is 3 x 107

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(347, 682) = 236654

GCD(347, 682) = ( 347 x 682 ) / 236654

GCD(347, 682) = 236654 / 236654

GCD(347, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 347, 682, 590, 321 is 1

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1. What is the GCD of 347, 682, 590, 321?

GCD of 347, 682, 590, 321 is 1

2. Where do I get the detailed procedure to find GCD of 347, 682, 590, 321?

You can find a detailed procedure to find GCD of 347, 682, 590, 321 on our page.

3. How to find GCD of 347, 682, 590, 321 on a calculator?

You can find the GCD of 347, 682, 590, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.