GCD of 986, 561, 361, 213 Calculator

Given Input numbers are 986, 561, 361, 213

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 986, 561, 361, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 561, 361, 213 is 1.

Therefore, GCD of numbers 986, 561, 361, 213 is 1

Given Input Data is 986, 561, 361, 213

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 213 is 3 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(986, 561) = 32538

GCD(986, 561) = ( 986 x 561 ) / 32538

GCD(986, 561) = 553146 / 32538

GCD(986, 561) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 361

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

LCM(17, 361) = 6137

GCD(17, 361) = ( 17 x 361 ) / 6137

GCD(17, 361) = 6137 / 6137

GCD(17, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 986, 561, 361, 213 is 1

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1. What is the GCD of 986, 561, 361, 213?

GCD of 986, 561, 361, 213 is 1

2. Where do I get the detailed procedure to find GCD of 986, 561, 361, 213?

You can find a detailed procedure to find GCD of 986, 561, 361, 213 on our page.

3. How to find GCD of 986, 561, 361, 213 on a calculator?

You can find the GCD of 986, 561, 361, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.