GCD of 466, 154, 12, 180 Calculator

Given Input numbers are 466, 154, 12, 180

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 466, 154, 12, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 154, 12, 180 is 2.

Therefore, GCD of numbers 466, 154, 12, 180 is 2

Given Input Data is 466, 154, 12, 180

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(466, 154) = 35882

GCD(466, 154) = ( 466 x 154 ) / 35882

GCD(466, 154) = 71764 / 35882

GCD(466, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

GCD of 466, 154, 12, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 723, 42, 388
• GCD of 479, 781, 83, 546
• GCD of 156, 171, 17, 715
• GCD of 827, 201, 75, 602
• GCD of 272, 658, 93, 146

1. What is the GCD of 466, 154, 12, 180?

GCD of 466, 154, 12, 180 is 2

2. Where do I get the detailed procedure to find GCD of 466, 154, 12, 180?

You can find a detailed procedure to find GCD of 466, 154, 12, 180 on our page.

3. How to find GCD of 466, 154, 12, 180 on a calculator?

You can find the GCD of 466, 154, 12, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.