GCD of 148, 378, 449 Calculator

Given Input numbers are 148, 378, 449

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 148, 378, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 378, 449 is 1.

Therefore, GCD of numbers 148, 378, 449 is 1

Given Input Data is 148, 378, 449

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 449 is 449

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, 378) = 27972

GCD(148, 378) = ( 148 x 378 ) / 27972

GCD(148, 378) = 55944 / 27972

GCD(148, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 148, 378, 449 is 1

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1. What is the GCD of 148, 378, 449?

GCD of 148, 378, 449 is 1

2. Where do I get the detailed procedure to find GCD of 148, 378, 449?

You can find a detailed procedure to find GCD of 148, 378, 449 on our page.

3. How to find GCD of 148, 378, 449 on a calculator?

You can find the GCD of 148, 378, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.