GCD of 593, 978, 16, 474 Calculator

Given Input numbers are 593, 978, 16, 474

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

Divisors of 593

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

1, 593

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 593, 978, 16, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 593, 978, 16, 474 is 1.

Therefore, GCD of numbers 593, 978, 16, 474 is 1

Given Input Data is 593, 978, 16, 474

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

Prime Factorization of 593 is 593

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 474 is 2 x 3 x 79

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(593, 978) = 579954

GCD(593, 978) = ( 593 x 978 ) / 579954

GCD(593, 978) = 579954 / 579954

GCD(593, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 593, 978, 16, 474 is 1

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1. What is the GCD of 593, 978, 16, 474?

GCD of 593, 978, 16, 474 is 1

2. Where do I get the detailed procedure to find GCD of 593, 978, 16, 474?

You can find a detailed procedure to find GCD of 593, 978, 16, 474 on our page.

3. How to find GCD of 593, 978, 16, 474 on a calculator?

You can find the GCD of 593, 978, 16, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.