GCD of 12, 343, 873, 213 Calculator

Given Input numbers are 12, 343, 873, 213

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 12, 343, 873, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 343, 873, 213 is 1.

Therefore, GCD of numbers 12, 343, 873, 213 is 1

Given Input Data is 12, 343, 873, 213

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 213 is 3 x 71

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(12, 343) = 4116

GCD(12, 343) = ( 12 x 343 ) / 4116

GCD(12, 343) = 4116 / 4116

GCD(12, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 12, 343, 873, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 476, 203, 799
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• GCD of 27, 906, 983, 759

1. What is the GCD of 12, 343, 873, 213?

GCD of 12, 343, 873, 213 is 1

2. Where do I get the detailed procedure to find GCD of 12, 343, 873, 213?

You can find a detailed procedure to find GCD of 12, 343, 873, 213 on our page.

3. How to find GCD of 12, 343, 873, 213 on a calculator?

You can find the GCD of 12, 343, 873, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.