GCD of 807, 217, 517, 442 Calculator

Given Input numbers are 807, 217, 517, 442

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 217

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

1, 7, 31, 217

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 807, 217, 517, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 217, 517, 442 is 1.

Therefore, GCD of numbers 807, 217, 517, 442 is 1

Given Input Data is 807, 217, 517, 442

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 217 is 7 x 31

Prime Factorization of 517 is 11 x 47

Prime Factorization of 442 is 2 x 13 x 17

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(807, 217) = 175119

GCD(807, 217) = ( 807 x 217 ) / 175119

GCD(807, 217) = 175119 / 175119

GCD(807, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 807, 217, 517, 442 is 1

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1. What is the GCD of 807, 217, 517, 442?

GCD of 807, 217, 517, 442 is 1

2. Where do I get the detailed procedure to find GCD of 807, 217, 517, 442?

You can find a detailed procedure to find GCD of 807, 217, 517, 442 on our page.

3. How to find GCD of 807, 217, 517, 442 on a calculator?

You can find the GCD of 807, 217, 517, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.