GCD of 131, 342, 817, 416 Calculator

Given Input numbers are 131, 342, 817, 416

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 131, 342, 817, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 342, 817, 416 is 1.

Therefore, GCD of numbers 131, 342, 817, 416 is 1

Given Input Data is 131, 342, 817, 416

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

Prime Factorization of 131 is 131

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 817 is 19 x 43

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 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(131, 342) = 44802

GCD(131, 342) = ( 131 x 342 ) / 44802

GCD(131, 342) = 44802 / 44802

GCD(131, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 131, 342, 817, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 116, 998, 269
• GCD of 136, 700, 725, 326
• GCD of 382, 481, 597, 664
• GCD of 324, 568, 117, 976
• GCD of 529, 590, 974, 229

1. What is the GCD of 131, 342, 817, 416?

GCD of 131, 342, 817, 416 is 1

2. Where do I get the detailed procedure to find GCD of 131, 342, 817, 416?

You can find a detailed procedure to find GCD of 131, 342, 817, 416 on our page.

3. How to find GCD of 131, 342, 817, 416 on a calculator?

You can find the GCD of 131, 342, 817, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.