GCD of 83, 136, 829, 365 Calculator

Given Input numbers are 83, 136, 829, 365

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 83, 136, 829, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 136, 829, 365 is 1.

Therefore, GCD of numbers 83, 136, 829, 365 is 1

Given Input Data is 83, 136, 829, 365

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

Prime Factorization of 83 is 83

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 829 is 829

Prime Factorization of 365 is 5 x 73

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, 136) = 11288

GCD(83, 136) = ( 83 x 136 ) / 11288

GCD(83, 136) = 11288 / 11288

GCD(83, 136) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 83, 136, 829, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 441, 990, 145
• GCD of 53, 103, 332, 418
• GCD of 45, 415, 718, 567
• GCD of 98, 853, 986, 386
• GCD of 62, 937, 117, 532

1. What is the GCD of 83, 136, 829, 365?

GCD of 83, 136, 829, 365 is 1

2. Where do I get the detailed procedure to find GCD of 83, 136, 829, 365?

You can find a detailed procedure to find GCD of 83, 136, 829, 365 on our page.

3. How to find GCD of 83, 136, 829, 365 on a calculator?

You can find the GCD of 83, 136, 829, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.