GCD of 739, 198, 30, 593 Calculator

Given Input numbers are 739, 198, 30, 593

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 739, 198, 30, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 198, 30, 593 is 1.

Therefore, GCD of numbers 739, 198, 30, 593 is 1

Given Input Data is 739, 198, 30, 593

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

Prime Factorization of 739 is 739

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 593 is 593

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(739, 198) = 146322

GCD(739, 198) = ( 739 x 198 ) / 146322

GCD(739, 198) = 146322 / 146322

GCD(739, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 593

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

LCM(1, 593) = 593

GCD(1, 593) = ( 1 x 593 ) / 593

GCD(1, 593) = 593 / 593

GCD(1, 593) = 1

GCD of 739, 198, 30, 593 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 716, 25, 673
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• GCD of 976, 113, 95, 184

1. What is the GCD of 739, 198, 30, 593?

GCD of 739, 198, 30, 593 is 1

2. Where do I get the detailed procedure to find GCD of 739, 198, 30, 593?

You can find a detailed procedure to find GCD of 739, 198, 30, 593 on our page.

3. How to find GCD of 739, 198, 30, 593 on a calculator?

You can find the GCD of 739, 198, 30, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.