GCD of 565, 829, 82, 213 Calculator

Given Input numbers are 565, 829, 82, 213

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

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

Greatest Common Divisior

We found the divisors of 565, 829, 82, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 829, 82, 213 is 1.

Therefore, GCD of numbers 565, 829, 82, 213 is 1

Given Input Data is 565, 829, 82, 213

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 829 is 829

Prime Factorization of 82 is 2 x 41

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(565, 829) = 468385

GCD(565, 829) = ( 565 x 829 ) / 468385

GCD(565, 829) = 468385 / 468385

GCD(565, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 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 565, 829, 82, 213 is 1

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• GCD of 196, 562, 52, 346
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1. What is the GCD of 565, 829, 82, 213?

GCD of 565, 829, 82, 213 is 1

2. Where do I get the detailed procedure to find GCD of 565, 829, 82, 213?

You can find a detailed procedure to find GCD of 565, 829, 82, 213 on our page.

3. How to find GCD of 565, 829, 82, 213 on a calculator?

You can find the GCD of 565, 829, 82, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.