GCD of 83, 983, 410, 129 Calculator

Given Input numbers are 83, 983, 410, 129

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 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 83, 983, 410, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 983, 410, 129 is 1.

Therefore, GCD of numbers 83, 983, 410, 129 is 1

Given Input Data is 83, 983, 410, 129

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

Prime Factorization of 83 is 83

Prime Factorization of 983 is 983

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 129 is 3 x 43

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, 983) = 81589

GCD(83, 983) = ( 83 x 983 ) / 81589

GCD(83, 983) = 81589 / 81589

GCD(83, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 83, 983, 410, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 646, 224, 568
• GCD of 73, 476, 828, 840
• GCD of 42, 898, 370, 647
• GCD of 33, 920, 103, 594
• GCD of 75, 907, 617, 409

1. What is the GCD of 83, 983, 410, 129?

GCD of 83, 983, 410, 129 is 1

2. Where do I get the detailed procedure to find GCD of 83, 983, 410, 129?

You can find a detailed procedure to find GCD of 83, 983, 410, 129 on our page.

3. How to find GCD of 83, 983, 410, 129 on a calculator?

You can find the GCD of 83, 983, 410, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.