GCD of 148, 604, 27, 216 Calculator

Given Input numbers are 148, 604, 27, 216

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 604

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

1, 2, 4, 151, 302, 604

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 148, 604, 27, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 604, 27, 216 is 1.

Therefore, GCD of numbers 148, 604, 27, 216 is 1

Given Input Data is 148, 604, 27, 216

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(148, 604) = 22348

GCD(148, 604) = ( 148 x 604 ) / 22348

GCD(148, 604) = 89392 / 22348

GCD(148, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 148, 604, 27, 216 is 1

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• GCD of 683, 202, 35, 187
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1. What is the GCD of 148, 604, 27, 216?

GCD of 148, 604, 27, 216 is 1

2. Where do I get the detailed procedure to find GCD of 148, 604, 27, 216?

You can find a detailed procedure to find GCD of 148, 604, 27, 216 on our page.

3. How to find GCD of 148, 604, 27, 216 on a calculator?

You can find the GCD of 148, 604, 27, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.