GCD of 312, 636, 78, 221 Calculator

Given Input numbers are 312, 636, 78, 221

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 312, 636, 78, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 636, 78, 221 is 1.

Therefore, GCD of numbers 312, 636, 78, 221 is 1

Given Input Data is 312, 636, 78, 221

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 221 is 13 x 17

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(312, 636) = 16536

GCD(312, 636) = ( 312 x 636 ) / 16536

GCD(312, 636) = 198432 / 16536

GCD(312, 636) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 78

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

LCM(12, 78) = 156

GCD(12, 78) = ( 12 x 78 ) / 156

GCD(12, 78) = 936 / 156

GCD(12, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 221

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

LCM(6, 221) = 1326

GCD(6, 221) = ( 6 x 221 ) / 1326

GCD(6, 221) = 1326 / 1326

GCD(6, 221) = 1

GCD of 312, 636, 78, 221 is 1

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1. What is the GCD of 312, 636, 78, 221?

GCD of 312, 636, 78, 221 is 1

2. Where do I get the detailed procedure to find GCD of 312, 636, 78, 221?

You can find a detailed procedure to find GCD of 312, 636, 78, 221 on our page.

3. How to find GCD of 312, 636, 78, 221 on a calculator?

You can find the GCD of 312, 636, 78, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.