GCD of 83, 351, 113, 401 Calculator

Given Input numbers are 83, 351, 113, 401

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 83, 351, 113, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 351, 113, 401 is 1.

Therefore, GCD of numbers 83, 351, 113, 401 is 1

Given Input Data is 83, 351, 113, 401

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

Prime Factorization of 83 is 83

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 113 is 113

Prime Factorization of 401 is 401

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, 351) = 29133

GCD(83, 351) = ( 83 x 351 ) / 29133

GCD(83, 351) = 29133 / 29133

GCD(83, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 83, 351, 113, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 801, 351, 258
• GCD of 77, 605, 854, 720
• GCD of 25, 720, 548, 723
• GCD of 10, 487, 643, 869
• GCD of 87, 616, 242, 648

1. What is the GCD of 83, 351, 113, 401?

GCD of 83, 351, 113, 401 is 1

2. Where do I get the detailed procedure to find GCD of 83, 351, 113, 401?

You can find a detailed procedure to find GCD of 83, 351, 113, 401 on our page.

3. How to find GCD of 83, 351, 113, 401 on a calculator?

You can find the GCD of 83, 351, 113, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.