GCD of 201, 363, 495, 169 Calculator

Given Input numbers are 201, 363, 495, 169

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 201, 363, 495, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 363, 495, 169 is 1.

Therefore, GCD of numbers 201, 363, 495, 169 is 1

Given Input Data is 201, 363, 495, 169

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 169 is 13 x 13

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(201, 363) = 24321

GCD(201, 363) = ( 201 x 363 ) / 24321

GCD(201, 363) = 72963 / 24321

GCD(201, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 495

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

LCM(3, 495) = 495

GCD(3, 495) = ( 3 x 495 ) / 495

GCD(3, 495) = 1485 / 495

GCD(3, 495) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 169

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

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

GCD(3, 169) = 507 / 507

GCD(3, 169) = 1

GCD of 201, 363, 495, 169 is 1

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1. What is the GCD of 201, 363, 495, 169?

GCD of 201, 363, 495, 169 is 1

2. Where do I get the detailed procedure to find GCD of 201, 363, 495, 169?

You can find a detailed procedure to find GCD of 201, 363, 495, 169 on our page.

3. How to find GCD of 201, 363, 495, 169 on a calculator?

You can find the GCD of 201, 363, 495, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.