GCD of 342, 438, 78, 787 Calculator

Given Input numbers are 342, 438, 78, 787

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 342, 438, 78, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 438, 78, 787 is 1.

Therefore, GCD of numbers 342, 438, 78, 787 is 1

Given Input Data is 342, 438, 78, 787

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 438 is 2 x 3 x 73

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 787 is 787

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, 438) = 24966

GCD(342, 438) = ( 342 x 438 ) / 24966

GCD(342, 438) = 149796 / 24966

GCD(342, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 78

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

LCM(6, 78) = 78

GCD(6, 78) = ( 6 x 78 ) / 78

GCD(6, 78) = 468 / 78

GCD(6, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 787

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

LCM(6, 787) = 4722

GCD(6, 787) = ( 6 x 787 ) / 4722

GCD(6, 787) = 4722 / 4722

GCD(6, 787) = 1

GCD of 342, 438, 78, 787 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 983, 11, 357
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• GCD of 976, 355, 34, 642
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• GCD of 436, 322, 25, 744

1. What is the GCD of 342, 438, 78, 787?

GCD of 342, 438, 78, 787 is 1

2. Where do I get the detailed procedure to find GCD of 342, 438, 78, 787?

You can find a detailed procedure to find GCD of 342, 438, 78, 787 on our page.

3. How to find GCD of 342, 438, 78, 787 on a calculator?

You can find the GCD of 342, 438, 78, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.