GCD of 317, 437, 45, 342 Calculator

Given Input numbers are 317, 437, 45, 342

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 317, 437, 45, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 437, 45, 342 is 1.

Therefore, GCD of numbers 317, 437, 45, 342 is 1

Given Input Data is 317, 437, 45, 342

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

Prime Factorization of 317 is 317

Prime Factorization of 437 is 19 x 23

Prime Factorization of 45 is 3 x 3 x 5

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

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(317, 437) = 138529

GCD(317, 437) = ( 317 x 437 ) / 138529

GCD(317, 437) = 138529 / 138529

GCD(317, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 317, 437, 45, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 939, 57, 982
• GCD of 574, 619, 19, 187
• GCD of 937, 502, 78, 954
• GCD of 659, 302, 69, 219
• GCD of 337, 805, 83, 501

1. What is the GCD of 317, 437, 45, 342?

GCD of 317, 437, 45, 342 is 1

2. Where do I get the detailed procedure to find GCD of 317, 437, 45, 342?

You can find a detailed procedure to find GCD of 317, 437, 45, 342 on our page.

3. How to find GCD of 317, 437, 45, 342 on a calculator?

You can find the GCD of 317, 437, 45, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.