GCD of 716, 758, 213 Calculator

Given Input numbers are 716, 758, 213

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 716, 758, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 758, 213 is 1.

Therefore, GCD of numbers 716, 758, 213 is 1

Given Input Data is 716, 758, 213

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 758 is 2 x 379

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(716, 758) = 271364

GCD(716, 758) = ( 716 x 758 ) / 271364

GCD(716, 758) = 542728 / 271364

GCD(716, 758) = 2

Step2:

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 716, 758, 213 is 1

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1. What is the GCD of 716, 758, 213?

GCD of 716, 758, 213 is 1

2. Where do I get the detailed procedure to find GCD of 716, 758, 213?

You can find a detailed procedure to find GCD of 716, 758, 213 on our page.

3. How to find GCD of 716, 758, 213 on a calculator?

You can find the GCD of 716, 758, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.