GCD of 85, 250, 680, 717 Calculator

Given Input numbers are 85, 250, 680, 717

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 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 85, 250, 680, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 250, 680, 717 is 1.

Therefore, GCD of numbers 85, 250, 680, 717 is 1

Given Input Data is 85, 250, 680, 717

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(85, 250) = 4250

GCD(85, 250) = ( 85 x 250 ) / 4250

GCD(85, 250) = 21250 / 4250

GCD(85, 250) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 680

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

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

GCD(5, 680) = 3400 / 680

GCD(5, 680) = 5

Step3:

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

GCD of 85, 250, 680, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 705, 150, 411
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1. What is the GCD of 85, 250, 680, 717?

GCD of 85, 250, 680, 717 is 1

2. Where do I get the detailed procedure to find GCD of 85, 250, 680, 717?

You can find a detailed procedure to find GCD of 85, 250, 680, 717 on our page.

3. How to find GCD of 85, 250, 680, 717 on a calculator?

You can find the GCD of 85, 250, 680, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.