GCD of 218, 434, 85, 273 Calculator

Given Input numbers are 218, 434, 85, 273

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

Divisors of 218

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

1, 2, 109, 218

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 218, 434, 85, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 434, 85, 273 is 1.

Therefore, GCD of numbers 218, 434, 85, 273 is 1

Given Input Data is 218, 434, 85, 273

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 273 is 3 x 7 x 13

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(218, 434) = 47306

GCD(218, 434) = ( 218 x 434 ) / 47306

GCD(218, 434) = 94612 / 47306

GCD(218, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 218, 434, 85, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 438, 66, 881
• GCD of 978, 741, 47, 553
• GCD of 927, 103, 13, 534
• GCD of 164, 221, 52, 667
• GCD of 779, 866, 46, 688

1. What is the GCD of 218, 434, 85, 273?

GCD of 218, 434, 85, 273 is 1

2. Where do I get the detailed procedure to find GCD of 218, 434, 85, 273?

You can find a detailed procedure to find GCD of 218, 434, 85, 273 on our page.

3. How to find GCD of 218, 434, 85, 273 on a calculator?

You can find the GCD of 218, 434, 85, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.