GCD of 60, 309, 412, 212 Calculator

Given Input numbers are 60, 309, 412, 212

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 60, 309, 412, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 309, 412, 212 is 1.

Therefore, GCD of numbers 60, 309, 412, 212 is 1

Given Input Data is 60, 309, 412, 212

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 309 is 3 x 103

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 212 is 2 x 2 x 53

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(60, 309) = 6180

GCD(60, 309) = ( 60 x 309 ) / 6180

GCD(60, 309) = 18540 / 6180

GCD(60, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 60, 309, 412, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 417, 908, 814
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• GCD of 28, 852, 995, 546

1. What is the GCD of 60, 309, 412, 212?

GCD of 60, 309, 412, 212 is 1

2. Where do I get the detailed procedure to find GCD of 60, 309, 412, 212?

You can find a detailed procedure to find GCD of 60, 309, 412, 212 on our page.

3. How to find GCD of 60, 309, 412, 212 on a calculator?

You can find the GCD of 60, 309, 412, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.