GCD of 215, 334, 708, 542 Calculator

Given Input numbers are 215, 334, 708, 542

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 215, 334, 708, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 334, 708, 542 is 1.

Therefore, GCD of numbers 215, 334, 708, 542 is 1

Given Input Data is 215, 334, 708, 542

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 334 is 2 x 167

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 542 is 2 x 271

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(215, 334) = 71810

GCD(215, 334) = ( 215 x 334 ) / 71810

GCD(215, 334) = 71810 / 71810

GCD(215, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 215, 334, 708, 542 is 1

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1. What is the GCD of 215, 334, 708, 542?

GCD of 215, 334, 708, 542 is 1

2. Where do I get the detailed procedure to find GCD of 215, 334, 708, 542?

You can find a detailed procedure to find GCD of 215, 334, 708, 542 on our page.

3. How to find GCD of 215, 334, 708, 542 on a calculator?

You can find the GCD of 215, 334, 708, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.