GCD of 150, 568, 58, 384 Calculator

Given Input numbers are 150, 568, 58, 384

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 58

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

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 150, 568, 58, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 568, 58, 384 is 2.

Therefore, GCD of numbers 150, 568, 58, 384 is 2

Given Input Data is 150, 568, 58, 384

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 58 is 2 x 29

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(150, 568) = 42600

GCD(150, 568) = ( 150 x 568 ) / 42600

GCD(150, 568) = 85200 / 42600

GCD(150, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 150, 568, 58, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 230, 57, 455
• GCD of 296, 528, 97, 695
• GCD of 225, 174, 98, 699
• GCD of 825, 444, 12, 176
• GCD of 673, 828, 42, 900

1. What is the GCD of 150, 568, 58, 384?

GCD of 150, 568, 58, 384 is 2

2. Where do I get the detailed procedure to find GCD of 150, 568, 58, 384?

You can find a detailed procedure to find GCD of 150, 568, 58, 384 on our page.

3. How to find GCD of 150, 568, 58, 384 on a calculator?

You can find the GCD of 150, 568, 58, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.