GCD of 34, 218, 565, 442 Calculator

Given Input numbers are 34, 218, 565, 442

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 34, 218, 565, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 218, 565, 442 is 1.

Therefore, GCD of numbers 34, 218, 565, 442 is 1

Given Input Data is 34, 218, 565, 442

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 218 is 2 x 109

Prime Factorization of 565 is 5 x 113

Prime Factorization of 442 is 2 x 13 x 17

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(34, 218) = 3706

GCD(34, 218) = ( 34 x 218 ) / 3706

GCD(34, 218) = 7412 / 3706

GCD(34, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 34, 218, 565, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 474, 727, 432
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• GCD of 23, 286, 520, 217
• GCD of 26, 632, 540, 999
• GCD of 97, 916, 723, 752

1. What is the GCD of 34, 218, 565, 442?

GCD of 34, 218, 565, 442 is 1

2. Where do I get the detailed procedure to find GCD of 34, 218, 565, 442?

You can find a detailed procedure to find GCD of 34, 218, 565, 442 on our page.

3. How to find GCD of 34, 218, 565, 442 on a calculator?

You can find the GCD of 34, 218, 565, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.