GCD of 342, 393, 72, 217 Calculator

Given Input numbers are 342, 393, 72, 217

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 342, 393, 72, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 393, 72, 217 is 1.

Therefore, GCD of numbers 342, 393, 72, 217 is 1

Given Input Data is 342, 393, 72, 217

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 393 is 3 x 131

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 217 is 7 x 31

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, 393) = 44802

GCD(342, 393) = ( 342 x 393 ) / 44802

GCD(342, 393) = 134406 / 44802

GCD(342, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

GCD of 342, 393, 72, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 271, 63, 925
• GCD of 399, 287, 11, 848
• GCD of 936, 844, 30, 651
• GCD of 406, 863, 73, 619
• GCD of 364, 378, 38, 521

1. What is the GCD of 342, 393, 72, 217?

GCD of 342, 393, 72, 217 is 1

2. Where do I get the detailed procedure to find GCD of 342, 393, 72, 217?

You can find a detailed procedure to find GCD of 342, 393, 72, 217 on our page.

3. How to find GCD of 342, 393, 72, 217 on a calculator?

You can find the GCD of 342, 393, 72, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.