GCD of 461, 180, 897 Calculator

Given Input numbers are 461, 180, 897

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 461, 180, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 180, 897 is 1.

Therefore, GCD of numbers 461, 180, 897 is 1

Given Input Data is 461, 180, 897

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

Prime Factorization of 461 is 461

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 897 is 3 x 13 x 23

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(461, 180) = 82980

GCD(461, 180) = ( 461 x 180 ) / 82980

GCD(461, 180) = 82980 / 82980

GCD(461, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 461, 180, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 713, 538
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• GCD of 427, 111, 643
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1. What is the GCD of 461, 180, 897?

GCD of 461, 180, 897 is 1

2. Where do I get the detailed procedure to find GCD of 461, 180, 897?

You can find a detailed procedure to find GCD of 461, 180, 897 on our page.

3. How to find GCD of 461, 180, 897 on a calculator?

You can find the GCD of 461, 180, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.