GCD of 82, 985, 549, 825 Calculator

Given Input numbers are 82, 985, 549, 825

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 82, 985, 549, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 985, 549, 825 is 1.

Therefore, GCD of numbers 82, 985, 549, 825 is 1

Given Input Data is 82, 985, 549, 825

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 985 is 5 x 197

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(82, 985) = 80770

GCD(82, 985) = ( 82 x 985 ) / 80770

GCD(82, 985) = 80770 / 80770

GCD(82, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 82, 985, 549, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 471, 495, 313
• GCD of 92, 284, 776, 388
• GCD of 59, 790, 992, 709
• GCD of 60, 251, 887, 158
• GCD of 71, 640, 109, 561

1. What is the GCD of 82, 985, 549, 825?

GCD of 82, 985, 549, 825 is 1

2. Where do I get the detailed procedure to find GCD of 82, 985, 549, 825?

You can find a detailed procedure to find GCD of 82, 985, 549, 825 on our page.

3. How to find GCD of 82, 985, 549, 825 on a calculator?

You can find the GCD of 82, 985, 549, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.