GCD of 212, 171, 999, 315 Calculator

Given Input numbers are 212, 171, 999, 315

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 212, 171, 999, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 171, 999, 315 is 1.

Therefore, GCD of numbers 212, 171, 999, 315 is 1

Given Input Data is 212, 171, 999, 315

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(212, 171) = 36252

GCD(212, 171) = ( 212 x 171 ) / 36252

GCD(212, 171) = 36252 / 36252

GCD(212, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 212, 171, 999, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 921, 207, 956
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• GCD of 103, 123, 176, 212

1. What is the GCD of 212, 171, 999, 315?

GCD of 212, 171, 999, 315 is 1

2. Where do I get the detailed procedure to find GCD of 212, 171, 999, 315?

You can find a detailed procedure to find GCD of 212, 171, 999, 315 on our page.

3. How to find GCD of 212, 171, 999, 315 on a calculator?

You can find the GCD of 212, 171, 999, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.