GCD of 85, 867, 171, 759 Calculator

Given Input numbers are 85, 867, 171, 759

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 85, 867, 171, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 867, 171, 759 is 1.

Therefore, GCD of numbers 85, 867, 171, 759 is 1

Given Input Data is 85, 867, 171, 759

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 759 is 3 x 11 x 23

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, 867) = 4335

GCD(85, 867) = ( 85 x 867 ) / 4335

GCD(85, 867) = 73695 / 4335

GCD(85, 867) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 171

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

LCM(17, 171) = 2907

GCD(17, 171) = ( 17 x 171 ) / 2907

GCD(17, 171) = 2907 / 2907

GCD(17, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 85, 867, 171, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 307, 161, 878
• GCD of 25, 681, 924, 211
• GCD of 23, 744, 479, 405
• GCD of 71, 928, 249, 904
• GCD of 63, 516, 928, 610

1. What is the GCD of 85, 867, 171, 759?

GCD of 85, 867, 171, 759 is 1

2. Where do I get the detailed procedure to find GCD of 85, 867, 171, 759?

You can find a detailed procedure to find GCD of 85, 867, 171, 759 on our page.

3. How to find GCD of 85, 867, 171, 759 on a calculator?

You can find the GCD of 85, 867, 171, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.