GCD of 202, 636, 21, 279 Calculator

Given Input numbers are 202, 636, 21, 279

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 279

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

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 202, 636, 21, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 636, 21, 279 is 1.

Therefore, GCD of numbers 202, 636, 21, 279 is 1

Given Input Data is 202, 636, 21, 279

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 279 is 3 x 3 x 31

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(202, 636) = 64236

GCD(202, 636) = ( 202 x 636 ) / 64236

GCD(202, 636) = 128472 / 64236

GCD(202, 636) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 202, 636, 21, 279 is 1

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1. What is the GCD of 202, 636, 21, 279?

GCD of 202, 636, 21, 279 is 1

2. Where do I get the detailed procedure to find GCD of 202, 636, 21, 279?

You can find a detailed procedure to find GCD of 202, 636, 21, 279 on our page.

3. How to find GCD of 202, 636, 21, 279 on a calculator?

You can find the GCD of 202, 636, 21, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.