GCD of 42, 927, 828, 454 Calculator

Given Input numbers are 42, 927, 828, 454

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 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 42, 927, 828, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 927, 828, 454 is 1.

Therefore, GCD of numbers 42, 927, 828, 454 is 1

Given Input Data is 42, 927, 828, 454

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 927 is 3 x 3 x 103

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

Prime Factorization of 454 is 2 x 227

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, 927) = 12978

GCD(42, 927) = ( 42 x 927 ) / 12978

GCD(42, 927) = 38934 / 12978

GCD(42, 927) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 828

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

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

GCD(3, 828) = 2484 / 828

GCD(3, 828) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 454

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

LCM(3, 454) = 1362

GCD(3, 454) = ( 3 x 454 ) / 1362

GCD(3, 454) = 1362 / 1362

GCD(3, 454) = 1

GCD of 42, 927, 828, 454 is 1

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1. What is the GCD of 42, 927, 828, 454?

GCD of 42, 927, 828, 454 is 1

2. Where do I get the detailed procedure to find GCD of 42, 927, 828, 454?

You can find a detailed procedure to find GCD of 42, 927, 828, 454 on our page.

3. How to find GCD of 42, 927, 828, 454 on a calculator?

You can find the GCD of 42, 927, 828, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.