GCD of 83, 706, 180, 717 Calculator

Given Input numbers are 83, 706, 180, 717

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 83, 706, 180, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 706, 180, 717 is 1.

Therefore, GCD of numbers 83, 706, 180, 717 is 1

Given Input Data is 83, 706, 180, 717

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

Prime Factorization of 83 is 83

Prime Factorization of 706 is 2 x 353

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 717 is 3 x 239

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(83, 706) = 58598

GCD(83, 706) = ( 83 x 706 ) / 58598

GCD(83, 706) = 58598 / 58598

GCD(83, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 83, 706, 180, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 339, 598, 508
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• GCD of 53, 401, 702, 479

1. What is the GCD of 83, 706, 180, 717?

GCD of 83, 706, 180, 717 is 1

2. Where do I get the detailed procedure to find GCD of 83, 706, 180, 717?

You can find a detailed procedure to find GCD of 83, 706, 180, 717 on our page.

3. How to find GCD of 83, 706, 180, 717 on a calculator?

You can find the GCD of 83, 706, 180, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.