GCD of 421, 993, 589, 434 Calculator

Given Input numbers are 421, 993, 589, 434

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 421, 993, 589, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 993, 589, 434 is 1.

Therefore, GCD of numbers 421, 993, 589, 434 is 1

Given Input Data is 421, 993, 589, 434

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

Prime Factorization of 421 is 421

Prime Factorization of 993 is 3 x 331

Prime Factorization of 589 is 19 x 31

Prime Factorization of 434 is 2 x 7 x 31

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(421, 993) = 418053

GCD(421, 993) = ( 421 x 993 ) / 418053

GCD(421, 993) = 418053 / 418053

GCD(421, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 421, 993, 589, 434 is 1

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1. What is the GCD of 421, 993, 589, 434?

GCD of 421, 993, 589, 434 is 1

2. Where do I get the detailed procedure to find GCD of 421, 993, 589, 434?

You can find a detailed procedure to find GCD of 421, 993, 589, 434 on our page.

3. How to find GCD of 421, 993, 589, 434 on a calculator?

You can find the GCD of 421, 993, 589, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.