GCD of 606, 324, 45, 138 Calculator

Given Input numbers are 606, 324, 45, 138

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 606, 324, 45, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 324, 45, 138 is 3.

Therefore, GCD of numbers 606, 324, 45, 138 is 3

Given Input Data is 606, 324, 45, 138

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(606, 324) = 32724

GCD(606, 324) = ( 606 x 324 ) / 32724

GCD(606, 324) = 196344 / 32724

GCD(606, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 45

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

LCM(6, 45) = 90

GCD(6, 45) = ( 6 x 45 ) / 90

GCD(6, 45) = 270 / 90

GCD(6, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 138

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

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

GCD(3, 138) = 414 / 138

GCD(3, 138) = 3

GCD of 606, 324, 45, 138 is 3

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1. What is the GCD of 606, 324, 45, 138?

GCD of 606, 324, 45, 138 is 3

2. Where do I get the detailed procedure to find GCD of 606, 324, 45, 138?

You can find a detailed procedure to find GCD of 606, 324, 45, 138 on our page.

3. How to find GCD of 606, 324, 45, 138 on a calculator?

You can find the GCD of 606, 324, 45, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.