GCD of 36, 522, 850, 540 Calculator

Given Input numbers are 36, 522, 850, 540

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 36, 522, 850, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 522, 850, 540 is 2.

Therefore, GCD of numbers 36, 522, 850, 540 is 2

Given Input Data is 36, 522, 850, 540

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(36, 522) = 1044

GCD(36, 522) = ( 36 x 522 ) / 1044

GCD(36, 522) = 18792 / 1044

GCD(36, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 850

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

LCM(18, 850) = 7650

GCD(18, 850) = ( 18 x 850 ) / 7650

GCD(18, 850) = 15300 / 7650

GCD(18, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

GCD of 36, 522, 850, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 612, 920, 218
• GCD of 67, 489, 480, 902
• GCD of 75, 418, 444, 635
• GCD of 60, 226, 764, 580
• GCD of 50, 426, 397, 776

1. What is the GCD of 36, 522, 850, 540?

GCD of 36, 522, 850, 540 is 2

2. Where do I get the detailed procedure to find GCD of 36, 522, 850, 540?

You can find a detailed procedure to find GCD of 36, 522, 850, 540 on our page.

3. How to find GCD of 36, 522, 850, 540 on a calculator?

You can find the GCD of 36, 522, 850, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.