GCD of 330, 453, 42, 827 Calculator

Given Input numbers are 330, 453, 42, 827

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 330, 453, 42, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 453, 42, 827 is 1.

Therefore, GCD of numbers 330, 453, 42, 827 is 1

Given Input Data is 330, 453, 42, 827

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 453 is 3 x 151

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 827 is 827

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(330, 453) = 49830

GCD(330, 453) = ( 330 x 453 ) / 49830

GCD(330, 453) = 149490 / 49830

GCD(330, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 330, 453, 42, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 868, 94, 580
• GCD of 119, 329, 80, 287
• GCD of 557, 592, 45, 628
• GCD of 291, 715, 86, 551
• GCD of 651, 706, 56, 836

1. What is the GCD of 330, 453, 42, 827?

GCD of 330, 453, 42, 827 is 1

2. Where do I get the detailed procedure to find GCD of 330, 453, 42, 827?

You can find a detailed procedure to find GCD of 330, 453, 42, 827 on our page.

3. How to find GCD of 330, 453, 42, 827 on a calculator?

You can find the GCD of 330, 453, 42, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.