GCD of 978, 105, 571 Calculator

Given Input numbers are 978, 105, 571

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 978, 105, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 105, 571 is 1.

Therefore, GCD of numbers 978, 105, 571 is 1

Given Input Data is 978, 105, 571

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 105 is 3 x 5 x 7

Prime Factorization of 571 is 571

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, 105) = 34230

GCD(978, 105) = ( 978 x 105 ) / 34230

GCD(978, 105) = 102690 / 34230

GCD(978, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 571

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

LCM(3, 571) = 1713

GCD(3, 571) = ( 3 x 571 ) / 1713

GCD(3, 571) = 1713 / 1713

GCD(3, 571) = 1

GCD of 978, 105, 571 is 1

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1. What is the GCD of 978, 105, 571?

GCD of 978, 105, 571 is 1

2. Where do I get the detailed procedure to find GCD of 978, 105, 571?

You can find a detailed procedure to find GCD of 978, 105, 571 on our page.

3. How to find GCD of 978, 105, 571 on a calculator?

You can find the GCD of 978, 105, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.