GCD of 978, 594, 355 Calculator

Given Input numbers are 978, 594, 355

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

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 978, 594, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 594, 355 is 1.

Therefore, GCD of numbers 978, 594, 355 is 1

Given Input Data is 978, 594, 355

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 355 is 5 x 71

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(978, 594) = 96822

GCD(978, 594) = ( 978 x 594 ) / 96822

GCD(978, 594) = 580932 / 96822

GCD(978, 594) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 355

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

LCM(6, 355) = 2130

GCD(6, 355) = ( 6 x 355 ) / 2130

GCD(6, 355) = 2130 / 2130

GCD(6, 355) = 1

GCD of 978, 594, 355 is 1

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1. What is the GCD of 978, 594, 355?

GCD of 978, 594, 355 is 1

2. Where do I get the detailed procedure to find GCD of 978, 594, 355?

You can find a detailed procedure to find GCD of 978, 594, 355 on our page.

3. How to find GCD of 978, 594, 355 on a calculator?

You can find the GCD of 978, 594, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.