GCD of 466, 201, 18, 414 Calculator

Given Input numbers are 466, 201, 18, 414

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 466, 201, 18, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 201, 18, 414 is 1.

Therefore, GCD of numbers 466, 201, 18, 414 is 1

Given Input Data is 466, 201, 18, 414

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 201 is 3 x 67

Prime Factorization of 18 is 2 x 3 x 3

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

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(466, 201) = 93666

GCD(466, 201) = ( 466 x 201 ) / 93666

GCD(466, 201) = 93666 / 93666

GCD(466, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 466, 201, 18, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 118, 81, 742
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• GCD of 465, 599, 24, 185
• GCD of 800, 367, 91, 392
• GCD of 767, 150, 17, 102

1. What is the GCD of 466, 201, 18, 414?

GCD of 466, 201, 18, 414 is 1

2. Where do I get the detailed procedure to find GCD of 466, 201, 18, 414?

You can find a detailed procedure to find GCD of 466, 201, 18, 414 on our page.

3. How to find GCD of 466, 201, 18, 414 on a calculator?

You can find the GCD of 466, 201, 18, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.