GCD of 742, 308, 342, 213 Calculator

Given Input numbers are 742, 308, 342, 213

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 742, 308, 342, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 308, 342, 213 is 1.

Therefore, GCD of numbers 742, 308, 342, 213 is 1

Given Input Data is 742, 308, 342, 213

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(742, 308) = 16324

GCD(742, 308) = ( 742 x 308 ) / 16324

GCD(742, 308) = 228536 / 16324

GCD(742, 308) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 342

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

LCM(14, 342) = 2394

GCD(14, 342) = ( 14 x 342 ) / 2394

GCD(14, 342) = 4788 / 2394

GCD(14, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 742, 308, 342, 213 is 1

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1. What is the GCD of 742, 308, 342, 213?

GCD of 742, 308, 342, 213 is 1

2. Where do I get the detailed procedure to find GCD of 742, 308, 342, 213?

You can find a detailed procedure to find GCD of 742, 308, 342, 213 on our page.

3. How to find GCD of 742, 308, 342, 213 on a calculator?

You can find the GCD of 742, 308, 342, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.