GCD of 305, 423, 468, 150 Calculator

Given Input numbers are 305, 423, 468, 150

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 305, 423, 468, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 423, 468, 150 is 1.

Therefore, GCD of numbers 305, 423, 468, 150 is 1

Given Input Data is 305, 423, 468, 150

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 150 is 2 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(305, 423) = 129015

GCD(305, 423) = ( 305 x 423 ) / 129015

GCD(305, 423) = 129015 / 129015

GCD(305, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 305, 423, 468, 150 is 1

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1. What is the GCD of 305, 423, 468, 150?

GCD of 305, 423, 468, 150 is 1

2. Where do I get the detailed procedure to find GCD of 305, 423, 468, 150?

You can find a detailed procedure to find GCD of 305, 423, 468, 150 on our page.

3. How to find GCD of 305, 423, 468, 150 on a calculator?

You can find the GCD of 305, 423, 468, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.