GCD of 213, 842, 714, 774 Calculator

Given Input numbers are 213, 842, 714, 774

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 213, 842, 714, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 842, 714, 774 is 1.

Therefore, GCD of numbers 213, 842, 714, 774 is 1

Given Input Data is 213, 842, 714, 774

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 842 is 2 x 421

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(213, 842) = 179346

GCD(213, 842) = ( 213 x 842 ) / 179346

GCD(213, 842) = 179346 / 179346

GCD(213, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 213, 842, 714, 774 is 1

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1. What is the GCD of 213, 842, 714, 774?

GCD of 213, 842, 714, 774 is 1

2. Where do I get the detailed procedure to find GCD of 213, 842, 714, 774?

You can find a detailed procedure to find GCD of 213, 842, 714, 774 on our page.

3. How to find GCD of 213, 842, 714, 774 on a calculator?

You can find the GCD of 213, 842, 714, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.