GCD of 384, 149, 224, 158 Calculator

Given Input numbers are 384, 149, 224, 158

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 384, 149, 224, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 149, 224, 158 is 1.

Therefore, GCD of numbers 384, 149, 224, 158 is 1

Given Input Data is 384, 149, 224, 158

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 149 is 149

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 158 is 2 x 79

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, 149) = 57216

GCD(384, 149) = ( 384 x 149 ) / 57216

GCD(384, 149) = 57216 / 57216

GCD(384, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 384, 149, 224, 158 is 1

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1. What is the GCD of 384, 149, 224, 158?

GCD of 384, 149, 224, 158 is 1

2. Where do I get the detailed procedure to find GCD of 384, 149, 224, 158?

You can find a detailed procedure to find GCD of 384, 149, 224, 158 on our page.

3. How to find GCD of 384, 149, 224, 158 on a calculator?

You can find the GCD of 384, 149, 224, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.