GCD of 279, 767, 38, 342 Calculator

Given Input numbers are 279, 767, 38, 342

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 279, 767, 38, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 767, 38, 342 is 1.

Therefore, GCD of numbers 279, 767, 38, 342 is 1

Given Input Data is 279, 767, 38, 342

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 767 is 13 x 59

Prime Factorization of 38 is 2 x 19

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(279, 767) = 213993

GCD(279, 767) = ( 279 x 767 ) / 213993

GCD(279, 767) = 213993 / 213993

GCD(279, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 279, 767, 38, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 724, 26, 530
• GCD of 112, 404, 59, 405
• GCD of 369, 876, 31, 738
• GCD of 755, 296, 87, 792
• GCD of 137, 133, 11, 721

1. What is the GCD of 279, 767, 38, 342?

GCD of 279, 767, 38, 342 is 1

2. Where do I get the detailed procedure to find GCD of 279, 767, 38, 342?

You can find a detailed procedure to find GCD of 279, 767, 38, 342 on our page.

3. How to find GCD of 279, 767, 38, 342 on a calculator?

You can find the GCD of 279, 767, 38, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.