GCD of 464, 132, 604, 162 Calculator

Given Input numbers are 464, 132, 604, 162

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 464, 132, 604, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 132, 604, 162 is 2.

Therefore, GCD of numbers 464, 132, 604, 162 is 2

Given Input Data is 464, 132, 604, 162

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(464, 132) = 15312

GCD(464, 132) = ( 464 x 132 ) / 15312

GCD(464, 132) = 61248 / 15312

GCD(464, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 604

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

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

GCD(4, 604) = 2416 / 604

GCD(4, 604) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

GCD of 464, 132, 604, 162 is 2

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1. What is the GCD of 464, 132, 604, 162?

GCD of 464, 132, 604, 162 is 2

2. Where do I get the detailed procedure to find GCD of 464, 132, 604, 162?

You can find a detailed procedure to find GCD of 464, 132, 604, 162 on our page.

3. How to find GCD of 464, 132, 604, 162 on a calculator?

You can find the GCD of 464, 132, 604, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.