GCD of 351, 289, 42, 366 Calculator

Given Input numbers are 351, 289, 42, 366

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

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 351, 289, 42, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 289, 42, 366 is 1.

Therefore, GCD of numbers 351, 289, 42, 366 is 1

Given Input Data is 351, 289, 42, 366

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

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 366 is 2 x 3 x 61

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(351, 289) = 101439

GCD(351, 289) = ( 351 x 289 ) / 101439

GCD(351, 289) = 101439 / 101439

GCD(351, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 351, 289, 42, 366 is 1

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• GCD of 209, 213, 45, 583
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1. What is the GCD of 351, 289, 42, 366?

GCD of 351, 289, 42, 366 is 1

2. Where do I get the detailed procedure to find GCD of 351, 289, 42, 366?

You can find a detailed procedure to find GCD of 351, 289, 42, 366 on our page.

3. How to find GCD of 351, 289, 42, 366 on a calculator?

You can find the GCD of 351, 289, 42, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.