GCD of 590, 364, 454 Calculator

Given Input numbers are 590, 364, 454

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

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 590, 364, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 364, 454 is 2.

Therefore, GCD of numbers 590, 364, 454 is 2

Given Input Data is 590, 364, 454

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 454 is 2 x 227

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(590, 364) = 107380

GCD(590, 364) = ( 590 x 364 ) / 107380

GCD(590, 364) = 214760 / 107380

GCD(590, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

GCD of 590, 364, 454 is 2

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1. What is the GCD of 590, 364, 454?

GCD of 590, 364, 454 is 2

2. Where do I get the detailed procedure to find GCD of 590, 364, 454?

You can find a detailed procedure to find GCD of 590, 364, 454 on our page.

3. How to find GCD of 590, 364, 454 on a calculator?

You can find the GCD of 590, 364, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.