GCD of 255, 101, 25, 829 Calculator

Given Input numbers are 255, 101, 25, 829

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 25

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

1, 5, 25

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 255, 101, 25, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 101, 25, 829 is 1.

Therefore, GCD of numbers 255, 101, 25, 829 is 1

Given Input Data is 255, 101, 25, 829

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 101 is 101

Prime Factorization of 25 is 5 x 5

Prime Factorization of 829 is 829

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(255, 101) = 25755

GCD(255, 101) = ( 255 x 101 ) / 25755

GCD(255, 101) = 25755 / 25755

GCD(255, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 255, 101, 25, 829 is 1

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1. What is the GCD of 255, 101, 25, 829?

GCD of 255, 101, 25, 829 is 1

2. Where do I get the detailed procedure to find GCD of 255, 101, 25, 829?

You can find a detailed procedure to find GCD of 255, 101, 25, 829 on our page.

3. How to find GCD of 255, 101, 25, 829 on a calculator?

You can find the GCD of 255, 101, 25, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.