GCD of 414, 667, 450 Calculator

Given Input numbers are 414, 667, 450

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

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 667

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

1, 23, 29, 667

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 414, 667, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 667, 450 is 1.

Therefore, GCD of numbers 414, 667, 450 is 1

Given Input Data is 414, 667, 450

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

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

Prime Factorization of 667 is 23 x 29

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

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(414, 667) = 12006

GCD(414, 667) = ( 414 x 667 ) / 12006

GCD(414, 667) = 276138 / 12006

GCD(414, 667) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 450

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

LCM(23, 450) = 10350

GCD(23, 450) = ( 23 x 450 ) / 10350

GCD(23, 450) = 10350 / 10350

GCD(23, 450) = 1

GCD of 414, 667, 450 is 1

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1. What is the GCD of 414, 667, 450?

GCD of 414, 667, 450 is 1

2. Where do I get the detailed procedure to find GCD of 414, 667, 450?

You can find a detailed procedure to find GCD of 414, 667, 450 on our page.

3. How to find GCD of 414, 667, 450 on a calculator?

You can find the GCD of 414, 667, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.