GCD of 582, 454, 599, 159 Calculator

Given Input numbers are 582, 454, 599, 159

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 454

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

1, 2, 227, 454

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 582, 454, 599, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 454, 599, 159 is 1.

Therefore, GCD of numbers 582, 454, 599, 159 is 1

Given Input Data is 582, 454, 599, 159

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 454 is 2 x 227

Prime Factorization of 599 is 599

Prime Factorization of 159 is 3 x 53

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(582, 454) = 132114

GCD(582, 454) = ( 582 x 454 ) / 132114

GCD(582, 454) = 264228 / 132114

GCD(582, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 582, 454, 599, 159 is 1

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1. What is the GCD of 582, 454, 599, 159?

GCD of 582, 454, 599, 159 is 1

2. Where do I get the detailed procedure to find GCD of 582, 454, 599, 159?

You can find a detailed procedure to find GCD of 582, 454, 599, 159 on our page.

3. How to find GCD of 582, 454, 599, 159 on a calculator?

You can find the GCD of 582, 454, 599, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.