GCD of 389, 590, 75, 343 Calculator

Given Input numbers are 389, 590, 75, 343

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 590

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

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 389, 590, 75, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 590, 75, 343 is 1.

Therefore, GCD of numbers 389, 590, 75, 343 is 1

Given Input Data is 389, 590, 75, 343

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

Prime Factorization of 389 is 389

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 343 is 7 x 7 x 7

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, 590) = 229510

GCD(389, 590) = ( 389 x 590 ) / 229510

GCD(389, 590) = 229510 / 229510

GCD(389, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 389, 590, 75, 343 is 1

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1. What is the GCD of 389, 590, 75, 343?

GCD of 389, 590, 75, 343 is 1

2. Where do I get the detailed procedure to find GCD of 389, 590, 75, 343?

You can find a detailed procedure to find GCD of 389, 590, 75, 343 on our page.

3. How to find GCD of 389, 590, 75, 343 on a calculator?

You can find the GCD of 389, 590, 75, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.