GCD of 85, 865, 717, 398 Calculator

Given Input numbers are 85, 865, 717, 398

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 717

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

1, 3, 239, 717

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 85, 865, 717, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 865, 717, 398 is 1.

Therefore, GCD of numbers 85, 865, 717, 398 is 1

Given Input Data is 85, 865, 717, 398

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 865 is 5 x 173

Prime Factorization of 717 is 3 x 239

Prime Factorization of 398 is 2 x 199

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(85, 865) = 14705

GCD(85, 865) = ( 85 x 865 ) / 14705

GCD(85, 865) = 73525 / 14705

GCD(85, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 717

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

LCM(5, 717) = 3585

GCD(5, 717) = ( 5 x 717 ) / 3585

GCD(5, 717) = 3585 / 3585

GCD(5, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 85, 865, 717, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 502, 961, 664
• GCD of 91, 793, 123, 100
• GCD of 85, 989, 309, 118
• GCD of 81, 830, 318, 515
• GCD of 25, 225, 653, 946

1. What is the GCD of 85, 865, 717, 398?

GCD of 85, 865, 717, 398 is 1

2. Where do I get the detailed procedure to find GCD of 85, 865, 717, 398?

You can find a detailed procedure to find GCD of 85, 865, 717, 398 on our page.

3. How to find GCD of 85, 865, 717, 398 on a calculator?

You can find the GCD of 85, 865, 717, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.