GCD of 342, 663, 917, 818 Calculator

Given Input numbers are 342, 663, 917, 818

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

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 342, 663, 917, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 663, 917, 818 is 1.

Therefore, GCD of numbers 342, 663, 917, 818 is 1

Given Input Data is 342, 663, 917, 818

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

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 917 is 7 x 131

Prime Factorization of 818 is 2 x 409

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(342, 663) = 75582

GCD(342, 663) = ( 342 x 663 ) / 75582

GCD(342, 663) = 226746 / 75582

GCD(342, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 917

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

LCM(3, 917) = 2751

GCD(3, 917) = ( 3 x 917 ) / 2751

GCD(3, 917) = 2751 / 2751

GCD(3, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 818

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

LCM(1, 818) = 818

GCD(1, 818) = ( 1 x 818 ) / 818

GCD(1, 818) = 818 / 818

GCD(1, 818) = 1

GCD of 342, 663, 917, 818 is 1

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1. What is the GCD of 342, 663, 917, 818?

GCD of 342, 663, 917, 818 is 1

2. Where do I get the detailed procedure to find GCD of 342, 663, 917, 818?

You can find a detailed procedure to find GCD of 342, 663, 917, 818 on our page.

3. How to find GCD of 342, 663, 917, 818 on a calculator?

You can find the GCD of 342, 663, 917, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.