GCD of 42, 229, 328, 827 Calculator

Given Input numbers are 42, 229, 328, 827

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

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 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 42, 229, 328, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 229, 328, 827 is 1.

Therefore, GCD of numbers 42, 229, 328, 827 is 1

Given Input Data is 42, 229, 328, 827

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 229 is 229

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(42, 229) = 9618

GCD(42, 229) = ( 42 x 229 ) / 9618

GCD(42, 229) = 9618 / 9618

GCD(42, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 42, 229, 328, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 110, 225, 293
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• GCD of 94, 815, 934, 448

1. What is the GCD of 42, 229, 328, 827?

GCD of 42, 229, 328, 827 is 1

2. Where do I get the detailed procedure to find GCD of 42, 229, 328, 827?

You can find a detailed procedure to find GCD of 42, 229, 328, 827 on our page.

3. How to find GCD of 42, 229, 328, 827 on a calculator?

You can find the GCD of 42, 229, 328, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.