GCD of 579, 734, 74, 589 Calculator

Given Input numbers are 579, 734, 74, 589

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 579, 734, 74, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 734, 74, 589 is 1.

Therefore, GCD of numbers 579, 734, 74, 589 is 1

Given Input Data is 579, 734, 74, 589

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 734 is 2 x 367

Prime Factorization of 74 is 2 x 37

Prime Factorization of 589 is 19 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(579, 734) = 424986

GCD(579, 734) = ( 579 x 734 ) / 424986

GCD(579, 734) = 424986 / 424986

GCD(579, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

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

GCD of 579, 734, 74, 589 is 1

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1. What is the GCD of 579, 734, 74, 589?

GCD of 579, 734, 74, 589 is 1

2. Where do I get the detailed procedure to find GCD of 579, 734, 74, 589?

You can find a detailed procedure to find GCD of 579, 734, 74, 589 on our page.

3. How to find GCD of 579, 734, 74, 589 on a calculator?

You can find the GCD of 579, 734, 74, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.