GCD of 211, 355, 825 Calculator

Given Input numbers are 211, 355, 825

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 211, 355, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 355, 825 is 1.

Therefore, GCD of numbers 211, 355, 825 is 1

Given Input Data is 211, 355, 825

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

Prime Factorization of 211 is 211

Prime Factorization of 355 is 5 x 71

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(211, 355) = 74905

GCD(211, 355) = ( 211 x 355 ) / 74905

GCD(211, 355) = 74905 / 74905

GCD(211, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 211, 355, 825 is 1

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1. What is the GCD of 211, 355, 825?

GCD of 211, 355, 825 is 1

2. Where do I get the detailed procedure to find GCD of 211, 355, 825?

You can find a detailed procedure to find GCD of 211, 355, 825 on our page.

3. How to find GCD of 211, 355, 825 on a calculator?

You can find the GCD of 211, 355, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.