GCD of 212, 136, 585, 710 Calculator

Given Input numbers are 212, 136, 585, 710

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 212, 136, 585, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 136, 585, 710 is 1.

Therefore, GCD of numbers 212, 136, 585, 710 is 1

Given Input Data is 212, 136, 585, 710

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 710 is 2 x 5 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(212, 136) = 7208

GCD(212, 136) = ( 212 x 136 ) / 7208

GCD(212, 136) = 28832 / 7208

GCD(212, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 585

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

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

GCD(4, 585) = 2340 / 2340

GCD(4, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 212, 136, 585, 710 is 1

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1. What is the GCD of 212, 136, 585, 710?

GCD of 212, 136, 585, 710 is 1

2. Where do I get the detailed procedure to find GCD of 212, 136, 585, 710?

You can find a detailed procedure to find GCD of 212, 136, 585, 710 on our page.

3. How to find GCD of 212, 136, 585, 710 on a calculator?

You can find the GCD of 212, 136, 585, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.