GCD of 25, 644, 305, 486 Calculator

Given Input numbers are 25, 644, 305, 486

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 25, 644, 305, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 644, 305, 486 is 1.

Therefore, GCD of numbers 25, 644, 305, 486 is 1

Given Input Data is 25, 644, 305, 486

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 305 is 5 x 61

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 644) = 16100

GCD(25, 644) = ( 25 x 644 ) / 16100

GCD(25, 644) = 16100 / 16100

GCD(25, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 25, 644, 305, 486 is 1

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1. What is the GCD of 25, 644, 305, 486?

GCD of 25, 644, 305, 486 is 1

2. Where do I get the detailed procedure to find GCD of 25, 644, 305, 486?

You can find a detailed procedure to find GCD of 25, 644, 305, 486 on our page.

3. How to find GCD of 25, 644, 305, 486 on a calculator?

You can find the GCD of 25, 644, 305, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.