GCD of 150, 484, 30, 852 Calculator

Given Input numbers are 150, 484, 30, 852

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 150, 484, 30, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 484, 30, 852 is 2.

Therefore, GCD of numbers 150, 484, 30, 852 is 2

Given Input Data is 150, 484, 30, 852

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 484) = 36300

GCD(150, 484) = ( 150 x 484 ) / 36300

GCD(150, 484) = 72600 / 36300

GCD(150, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 150, 484, 30, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 440, 39, 884
• GCD of 901, 841, 62, 469
• GCD of 580, 169, 80, 836
• GCD of 685, 313, 86, 269
• GCD of 539, 639, 21, 458

1. What is the GCD of 150, 484, 30, 852?

GCD of 150, 484, 30, 852 is 2

2. Where do I get the detailed procedure to find GCD of 150, 484, 30, 852?

You can find a detailed procedure to find GCD of 150, 484, 30, 852 on our page.

3. How to find GCD of 150, 484, 30, 852 on a calculator?

You can find the GCD of 150, 484, 30, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.