GCD of 384, 378, 58, 147 Calculator

Given Input numbers are 384, 378, 58, 147

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 384, 378, 58, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 378, 58, 147 is 1.

Therefore, GCD of numbers 384, 378, 58, 147 is 1

Given Input Data is 384, 378, 58, 147

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 147 is 3 x 7 x 7

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(384, 378) = 24192

GCD(384, 378) = ( 384 x 378 ) / 24192

GCD(384, 378) = 145152 / 24192

GCD(384, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 58

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

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

GCD(6, 58) = 348 / 174

GCD(6, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 384, 378, 58, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 976, 83, 891
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1. What is the GCD of 384, 378, 58, 147?

GCD of 384, 378, 58, 147 is 1

2. Where do I get the detailed procedure to find GCD of 384, 378, 58, 147?

You can find a detailed procedure to find GCD of 384, 378, 58, 147 on our page.

3. How to find GCD of 384, 378, 58, 147 on a calculator?

You can find the GCD of 384, 378, 58, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.