GCD of 201, 219, 279, 427 Calculator

Given Input numbers are 201, 219, 279, 427

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 201, 219, 279, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 219, 279, 427 is 1.

Therefore, GCD of numbers 201, 219, 279, 427 is 1

Given Input Data is 201, 219, 279, 427

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 219 is 3 x 73

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 427 is 7 x 61

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, 219) = 14673

GCD(201, 219) = ( 201 x 219 ) / 14673

GCD(201, 219) = 44019 / 14673

GCD(201, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 427

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

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

GCD(3, 427) = 1281 / 1281

GCD(3, 427) = 1

GCD of 201, 219, 279, 427 is 1

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1. What is the GCD of 201, 219, 279, 427?

GCD of 201, 219, 279, 427 is 1

2. Where do I get the detailed procedure to find GCD of 201, 219, 279, 427?

You can find a detailed procedure to find GCD of 201, 219, 279, 427 on our page.

3. How to find GCD of 201, 219, 279, 427 on a calculator?

You can find the GCD of 201, 219, 279, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.