GCD of 135, 426, 742, 819 Calculator

Given Input numbers are 135, 426, 742, 819

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 135, 426, 742, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 426, 742, 819 is 1.

Therefore, GCD of numbers 135, 426, 742, 819 is 1

Given Input Data is 135, 426, 742, 819

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(135, 426) = 19170

GCD(135, 426) = ( 135 x 426 ) / 19170

GCD(135, 426) = 57510 / 19170

GCD(135, 426) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 135, 426, 742, 819 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 326, 147, 378
• GCD of 300, 248, 796, 182
• GCD of 241, 567, 198, 346
• GCD of 490, 722, 400, 138
• GCD of 273, 489, 736, 786

1. What is the GCD of 135, 426, 742, 819?

GCD of 135, 426, 742, 819 is 1

2. Where do I get the detailed procedure to find GCD of 135, 426, 742, 819?

You can find a detailed procedure to find GCD of 135, 426, 742, 819 on our page.

3. How to find GCD of 135, 426, 742, 819 on a calculator?

You can find the GCD of 135, 426, 742, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.