GCD of 740, 204, 14, 393 Calculator

Given Input numbers are 740, 204, 14, 393

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 393

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

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 740, 204, 14, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 204, 14, 393 is 1.

Therefore, GCD of numbers 740, 204, 14, 393 is 1

Given Input Data is 740, 204, 14, 393

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 393 is 3 x 131

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(740, 204) = 37740

GCD(740, 204) = ( 740 x 204 ) / 37740

GCD(740, 204) = 150960 / 37740

GCD(740, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

GCD of 740, 204, 14, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 690, 63, 339
• GCD of 557, 600, 94, 320
• GCD of 928, 392, 34, 109
• GCD of 195, 934, 39, 643
• GCD of 658, 752, 11, 478

1. What is the GCD of 740, 204, 14, 393?

GCD of 740, 204, 14, 393 is 1

2. Where do I get the detailed procedure to find GCD of 740, 204, 14, 393?

You can find a detailed procedure to find GCD of 740, 204, 14, 393 on our page.

3. How to find GCD of 740, 204, 14, 393 on a calculator?

You can find the GCD of 740, 204, 14, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.