GCD of 353, 217, 806, 852 Calculator

Given Input numbers are 353, 217, 806, 852

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 353, 217, 806, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 217, 806, 852 is 1.

Therefore, GCD of numbers 353, 217, 806, 852 is 1

Given Input Data is 353, 217, 806, 852

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

Prime Factorization of 353 is 353

Prime Factorization of 217 is 7 x 31

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 852 is 2 x 2 x 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(353, 217) = 76601

GCD(353, 217) = ( 353 x 217 ) / 76601

GCD(353, 217) = 76601 / 76601

GCD(353, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 353, 217, 806, 852 is 1

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1. What is the GCD of 353, 217, 806, 852?

GCD of 353, 217, 806, 852 is 1

2. Where do I get the detailed procedure to find GCD of 353, 217, 806, 852?

You can find a detailed procedure to find GCD of 353, 217, 806, 852 on our page.

3. How to find GCD of 353, 217, 806, 852 on a calculator?

You can find the GCD of 353, 217, 806, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.