GCD of 710, 213, 722, 205 Calculator

Given Input numbers are 710, 213, 722, 205

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

Divisors of 710

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

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 710, 213, 722, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 213, 722, 205 is 1.

Therefore, GCD of numbers 710, 213, 722, 205 is 1

Given Input Data is 710, 213, 722, 205

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 213 is 3 x 71

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 205 is 5 x 41

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(710, 213) = 2130

GCD(710, 213) = ( 710 x 213 ) / 2130

GCD(710, 213) = 151230 / 2130

GCD(710, 213) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 722

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

LCM(71, 722) = 51262

GCD(71, 722) = ( 71 x 722 ) / 51262

GCD(71, 722) = 51262 / 51262

GCD(71, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 710, 213, 722, 205 is 1

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• GCD of 166, 266, 136, 869
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• GCD of 201, 719, 885, 583

1. What is the GCD of 710, 213, 722, 205?

GCD of 710, 213, 722, 205 is 1

2. Where do I get the detailed procedure to find GCD of 710, 213, 722, 205?

You can find a detailed procedure to find GCD of 710, 213, 722, 205 on our page.

3. How to find GCD of 710, 213, 722, 205 on a calculator?

You can find the GCD of 710, 213, 722, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.