GCD of 186, 324, 42, 454 Calculator

Given Input numbers are 186, 324, 42, 454

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 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 186, 324, 42, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 324, 42, 454 is 2.

Therefore, GCD of numbers 186, 324, 42, 454 is 2

Given Input Data is 186, 324, 42, 454

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 454 is 2 x 227

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(186, 324) = 10044

GCD(186, 324) = ( 186 x 324 ) / 10044

GCD(186, 324) = 60264 / 10044

GCD(186, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 42

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

LCM(6, 42) = 42

GCD(6, 42) = ( 6 x 42 ) / 42

GCD(6, 42) = 252 / 42

GCD(6, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 454

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

LCM(6, 454) = 1362

GCD(6, 454) = ( 6 x 454 ) / 1362

GCD(6, 454) = 2724 / 1362

GCD(6, 454) = 2

GCD of 186, 324, 42, 454 is 2

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• GCD of 398, 634, 52, 483
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• GCD of 873, 471, 61, 231

1. What is the GCD of 186, 324, 42, 454?

GCD of 186, 324, 42, 454 is 2

2. Where do I get the detailed procedure to find GCD of 186, 324, 42, 454?

You can find a detailed procedure to find GCD of 186, 324, 42, 454 on our page.

3. How to find GCD of 186, 324, 42, 454 on a calculator?

You can find the GCD of 186, 324, 42, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.