GCD of 85, 789, 165, 617 Calculator

Given Input numbers are 85, 789, 165, 617

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 85, 789, 165, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 789, 165, 617 is 1.

Therefore, GCD of numbers 85, 789, 165, 617 is 1

Given Input Data is 85, 789, 165, 617

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 789 is 3 x 263

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 617 is 617

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, 789) = 67065

GCD(85, 789) = ( 85 x 789 ) / 67065

GCD(85, 789) = 67065 / 67065

GCD(85, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 85, 789, 165, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 251, 382, 245
• GCD of 22, 860, 456, 242
• GCD of 56, 523, 701, 437
• GCD of 78, 712, 257, 324
• GCD of 20, 800, 599, 503

1. What is the GCD of 85, 789, 165, 617?

GCD of 85, 789, 165, 617 is 1

2. Where do I get the detailed procedure to find GCD of 85, 789, 165, 617?

You can find a detailed procedure to find GCD of 85, 789, 165, 617 on our page.

3. How to find GCD of 85, 789, 165, 617 on a calculator?

You can find the GCD of 85, 789, 165, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.