GCD of 421, 493, 592, 370 Calculator

Given Input numbers are 421, 493, 592, 370

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 493

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

1, 17, 29, 493

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 421, 493, 592, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 493, 592, 370 is 1.

Therefore, GCD of numbers 421, 493, 592, 370 is 1

Given Input Data is 421, 493, 592, 370

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

Prime Factorization of 421 is 421

Prime Factorization of 493 is 17 x 29

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 370 is 2 x 5 x 37

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, 493) = 207553

GCD(421, 493) = ( 421 x 493 ) / 207553

GCD(421, 493) = 207553 / 207553

GCD(421, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 421, 493, 592, 370 is 1

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1. What is the GCD of 421, 493, 592, 370?

GCD of 421, 493, 592, 370 is 1

2. Where do I get the detailed procedure to find GCD of 421, 493, 592, 370?

You can find a detailed procedure to find GCD of 421, 493, 592, 370 on our page.

3. How to find GCD of 421, 493, 592, 370 on a calculator?

You can find the GCD of 421, 493, 592, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.