GCD of 574, 150, 10, 184 Calculator

Given Input numbers are 574, 150, 10, 184

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 574, 150, 10, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 150, 10, 184 is 2.

Therefore, GCD of numbers 574, 150, 10, 184 is 2

Given Input Data is 574, 150, 10, 184

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

Prime Factorization of 574 is 2 x 7 x 41

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(574, 150) = 43050

GCD(574, 150) = ( 574 x 150 ) / 43050

GCD(574, 150) = 86100 / 43050

GCD(574, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 574, 150, 10, 184 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 305, 73, 496
• GCD of 489, 647, 29, 142
• GCD of 768, 934, 37, 985
• GCD of 966, 558, 50, 674
• GCD of 459, 972, 45, 182

1. What is the GCD of 574, 150, 10, 184?

GCD of 574, 150, 10, 184 is 2

2. Where do I get the detailed procedure to find GCD of 574, 150, 10, 184?

You can find a detailed procedure to find GCD of 574, 150, 10, 184 on our page.

3. How to find GCD of 574, 150, 10, 184 on a calculator?

You can find the GCD of 574, 150, 10, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.