GCD of 25, 995, 978, 393 Calculator

Given Input numbers are 25, 995, 978, 393

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 25, 995, 978, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 995, 978, 393 is 1.

Therefore, GCD of numbers 25, 995, 978, 393 is 1

Given Input Data is 25, 995, 978, 393

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 995 is 5 x 199

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 393 is 3 x 131

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(25, 995) = 4975

GCD(25, 995) = ( 25 x 995 ) / 4975

GCD(25, 995) = 24875 / 4975

GCD(25, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 978

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

LCM(5, 978) = 4890

GCD(5, 978) = ( 5 x 978 ) / 4890

GCD(5, 978) = 4890 / 4890

GCD(5, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 25, 995, 978, 393 is 1

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1. What is the GCD of 25, 995, 978, 393?

GCD of 25, 995, 978, 393 is 1

2. Where do I get the detailed procedure to find GCD of 25, 995, 978, 393?

You can find a detailed procedure to find GCD of 25, 995, 978, 393 on our page.

3. How to find GCD of 25, 995, 978, 393 on a calculator?

You can find the GCD of 25, 995, 978, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.