GCD of 381, 795, 25, 978 Calculator

Given Input numbers are 381, 795, 25, 978

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 25

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

1, 5, 25

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 381, 795, 25, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 795, 25, 978 is 1.

Therefore, GCD of numbers 381, 795, 25, 978 is 1

Given Input Data is 381, 795, 25, 978

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 25 is 5 x 5

Prime Factorization of 978 is 2 x 3 x 163

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(381, 795) = 100965

GCD(381, 795) = ( 381 x 795 ) / 100965

GCD(381, 795) = 302895 / 100965

GCD(381, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 381, 795, 25, 978 is 1

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1. What is the GCD of 381, 795, 25, 978?

GCD of 381, 795, 25, 978 is 1

2. Where do I get the detailed procedure to find GCD of 381, 795, 25, 978?

You can find a detailed procedure to find GCD of 381, 795, 25, 978 on our page.

3. How to find GCD of 381, 795, 25, 978 on a calculator?

You can find the GCD of 381, 795, 25, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.