GCD of 897, 198, 101, 555 Calculator

Given Input numbers are 897, 198, 101, 555

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 101

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

1, 101

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 897, 198, 101, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 198, 101, 555 is 1.

Therefore, GCD of numbers 897, 198, 101, 555 is 1

Given Input Data is 897, 198, 101, 555

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 101 is 101

Prime Factorization of 555 is 3 x 5 x 37

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, 198) = 59202

GCD(897, 198) = ( 897 x 198 ) / 59202

GCD(897, 198) = 177606 / 59202

GCD(897, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 101

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

LCM(3, 101) = 303

GCD(3, 101) = ( 3 x 101 ) / 303

GCD(3, 101) = 303 / 303

GCD(3, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 897, 198, 101, 555 is 1

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1. What is the GCD of 897, 198, 101, 555?

GCD of 897, 198, 101, 555 is 1

2. Where do I get the detailed procedure to find GCD of 897, 198, 101, 555?

You can find a detailed procedure to find GCD of 897, 198, 101, 555 on our page.

3. How to find GCD of 897, 198, 101, 555 on a calculator?

You can find the GCD of 897, 198, 101, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.