GCD of 582, 978, 407 Calculator

Given Input numbers are 582, 978, 407

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 582, 978, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 978, 407 is 1.

Therefore, GCD of numbers 582, 978, 407 is 1

Given Input Data is 582, 978, 407

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 407 is 11 x 37

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(582, 978) = 94866

GCD(582, 978) = ( 582 x 978 ) / 94866

GCD(582, 978) = 569196 / 94866

GCD(582, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 407

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

LCM(6, 407) = 2442

GCD(6, 407) = ( 6 x 407 ) / 2442

GCD(6, 407) = 2442 / 2442

GCD(6, 407) = 1

GCD of 582, 978, 407 is 1

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1. What is the GCD of 582, 978, 407?

GCD of 582, 978, 407 is 1

2. Where do I get the detailed procedure to find GCD of 582, 978, 407?

You can find a detailed procedure to find GCD of 582, 978, 407 on our page.

3. How to find GCD of 582, 978, 407 on a calculator?

You can find the GCD of 582, 978, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.