GCD of 897, 189, 575 Calculator

Given Input numbers are 897, 189, 575

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

Divisors of 897

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

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 897, 189, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 189, 575 is 1.

Therefore, GCD of numbers 897, 189, 575 is 1

Given Input Data is 897, 189, 575

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 575 is 5 x 5 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(897, 189) = 56511

GCD(897, 189) = ( 897 x 189 ) / 56511

GCD(897, 189) = 169533 / 56511

GCD(897, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 575

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

LCM(3, 575) = 1725

GCD(3, 575) = ( 3 x 575 ) / 1725

GCD(3, 575) = 1725 / 1725

GCD(3, 575) = 1

GCD of 897, 189, 575 is 1

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1. What is the GCD of 897, 189, 575?

GCD of 897, 189, 575 is 1

2. Where do I get the detailed procedure to find GCD of 897, 189, 575?

You can find a detailed procedure to find GCD of 897, 189, 575 on our page.

3. How to find GCD of 897, 189, 575 on a calculator?

You can find the GCD of 897, 189, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.