GCD of 82, 213, 561, 356 Calculator

Given Input numbers are 82, 213, 561, 356

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 213

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

1, 3, 71, 213

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 82, 213, 561, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 213, 561, 356 is 1.

Therefore, GCD of numbers 82, 213, 561, 356 is 1

Given Input Data is 82, 213, 561, 356

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 213 is 3 x 71

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 356 is 2 x 2 x 89

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(82, 213) = 17466

GCD(82, 213) = ( 82 x 213 ) / 17466

GCD(82, 213) = 17466 / 17466

GCD(82, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 82, 213, 561, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 274, 555, 484
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• GCD of 90, 664, 185, 246
• GCD of 57, 862, 954, 709
• GCD of 44, 473, 637, 629

1. What is the GCD of 82, 213, 561, 356?

GCD of 82, 213, 561, 356 is 1

2. Where do I get the detailed procedure to find GCD of 82, 213, 561, 356?

You can find a detailed procedure to find GCD of 82, 213, 561, 356 on our page.

3. How to find GCD of 82, 213, 561, 356 on a calculator?

You can find the GCD of 82, 213, 561, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.