GCD of 198, 275, 406, 901 Calculator

Given Input numbers are 198, 275, 406, 901

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 198, 275, 406, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 275, 406, 901 is 1.

Therefore, GCD of numbers 198, 275, 406, 901 is 1

Given Input Data is 198, 275, 406, 901

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 275 is 5 x 5 x 11

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 901 is 17 x 53

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, 275) = 4950

GCD(198, 275) = ( 198 x 275 ) / 4950

GCD(198, 275) = 54450 / 4950

GCD(198, 275) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 406

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

LCM(11, 406) = 4466

GCD(11, 406) = ( 11 x 406 ) / 4466

GCD(11, 406) = 4466 / 4466

GCD(11, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 198, 275, 406, 901 is 1

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1. What is the GCD of 198, 275, 406, 901?

GCD of 198, 275, 406, 901 is 1

2. Where do I get the detailed procedure to find GCD of 198, 275, 406, 901?

You can find a detailed procedure to find GCD of 198, 275, 406, 901 on our page.

3. How to find GCD of 198, 275, 406, 901 on a calculator?

You can find the GCD of 198, 275, 406, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.