GCD of 584, 738, 598, 305 Calculator

Given Input numbers are 584, 738, 598, 305

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 584, 738, 598, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 738, 598, 305 is 1.

Therefore, GCD of numbers 584, 738, 598, 305 is 1

Given Input Data is 584, 738, 598, 305

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 305 is 5 x 61

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(584, 738) = 215496

GCD(584, 738) = ( 584 x 738 ) / 215496

GCD(584, 738) = 430992 / 215496

GCD(584, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 584, 738, 598, 305 is 1

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1. What is the GCD of 584, 738, 598, 305?

GCD of 584, 738, 598, 305 is 1

2. Where do I get the detailed procedure to find GCD of 584, 738, 598, 305?

You can find a detailed procedure to find GCD of 584, 738, 598, 305 on our page.

3. How to find GCD of 584, 738, 598, 305 on a calculator?

You can find the GCD of 584, 738, 598, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.