GCD of 198, 277, 369 Calculator

Given Input numbers are 198, 277, 369

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

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 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 198, 277, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 277, 369 is 1.

Therefore, GCD of numbers 198, 277, 369 is 1

Given Input Data is 198, 277, 369

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 277 is 277

Prime Factorization of 369 is 3 x 3 x 41

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(198, 277) = 54846

GCD(198, 277) = ( 198 x 277 ) / 54846

GCD(198, 277) = 54846 / 54846

GCD(198, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 198, 277, 369 is 1

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1. What is the GCD of 198, 277, 369?

GCD of 198, 277, 369 is 1

2. Where do I get the detailed procedure to find GCD of 198, 277, 369?

You can find a detailed procedure to find GCD of 198, 277, 369 on our page.

3. How to find GCD of 198, 277, 369 on a calculator?

You can find the GCD of 198, 277, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.