GCD of 282, 828, 38, 667 Calculator

Given Input numbers are 282, 828, 38, 667

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 38

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

1, 2, 19, 38

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 282, 828, 38, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 828, 38, 667 is 1.

Therefore, GCD of numbers 282, 828, 38, 667 is 1

Given Input Data is 282, 828, 38, 667

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 667 is 23 x 29

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(282, 828) = 38916

GCD(282, 828) = ( 282 x 828 ) / 38916

GCD(282, 828) = 233496 / 38916

GCD(282, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

GCD of 282, 828, 38, 667 is 1

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1. What is the GCD of 282, 828, 38, 667?

GCD of 282, 828, 38, 667 is 1

2. Where do I get the detailed procedure to find GCD of 282, 828, 38, 667?

You can find a detailed procedure to find GCD of 282, 828, 38, 667 on our page.

3. How to find GCD of 282, 828, 38, 667 on a calculator?

You can find the GCD of 282, 828, 38, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.