GCD of 381, 414, 450 Calculator

Given Input numbers are 381, 414, 450

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 381, 414, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 414, 450 is 3.

Therefore, GCD of numbers 381, 414, 450 is 3

Given Input Data is 381, 414, 450

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(381, 414) = 52578

GCD(381, 414) = ( 381 x 414 ) / 52578

GCD(381, 414) = 157734 / 52578

GCD(381, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

GCD of 381, 414, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 315, 906
• GCD of 801, 190, 400
• GCD of 684, 865, 957
• GCD of 192, 327, 570
• GCD of 812, 968, 360

1. What is the GCD of 381, 414, 450?

GCD of 381, 414, 450 is 3

2. Where do I get the detailed procedure to find GCD of 381, 414, 450?

You can find a detailed procedure to find GCD of 381, 414, 450 on our page.

3. How to find GCD of 381, 414, 450 on a calculator?

You can find the GCD of 381, 414, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.