GCD of 83, 527, 505, 845 Calculator

Given Input numbers are 83, 527, 505, 845

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 83, 527, 505, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 527, 505, 845 is 1.

Therefore, GCD of numbers 83, 527, 505, 845 is 1

Given Input Data is 83, 527, 505, 845

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

Prime Factorization of 83 is 83

Prime Factorization of 527 is 17 x 31

Prime Factorization of 505 is 5 x 101

Prime Factorization of 845 is 5 x 13 x 13

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(83, 527) = 43741

GCD(83, 527) = ( 83 x 527 ) / 43741

GCD(83, 527) = 43741 / 43741

GCD(83, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 83, 527, 505, 845 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 919, 421, 889
• GCD of 16, 552, 328, 164
• GCD of 73, 523, 219, 477
• GCD of 88, 154, 147, 166
• GCD of 54, 381, 176, 906

1. What is the GCD of 83, 527, 505, 845?

GCD of 83, 527, 505, 845 is 1

2. Where do I get the detailed procedure to find GCD of 83, 527, 505, 845?

You can find a detailed procedure to find GCD of 83, 527, 505, 845 on our page.

3. How to find GCD of 83, 527, 505, 845 on a calculator?

You can find the GCD of 83, 527, 505, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.