GCD of 822, 270, 51, 522 Calculator

Given Input numbers are 822, 270, 51, 522

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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

Greatest Common Divisior

We found the divisors of 822, 270, 51, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 270, 51, 522 is 3.

Therefore, GCD of numbers 822, 270, 51, 522 is 3

Given Input Data is 822, 270, 51, 522

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 51 is 3 x 17

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(822, 270) = 36990

GCD(822, 270) = ( 822 x 270 ) / 36990

GCD(822, 270) = 221940 / 36990

GCD(822, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 51

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

LCM(6, 51) = 102

GCD(6, 51) = ( 6 x 51 ) / 102

GCD(6, 51) = 306 / 102

GCD(6, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 522

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

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

GCD(3, 522) = 1566 / 522

GCD(3, 522) = 3

GCD of 822, 270, 51, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 228, 28, 772
• GCD of 821, 363, 63, 785
• GCD of 905, 281, 38, 164
• GCD of 985, 552, 35, 304
• GCD of 623, 516, 63, 474

1. What is the GCD of 822, 270, 51, 522?

GCD of 822, 270, 51, 522 is 3

2. Where do I get the detailed procedure to find GCD of 822, 270, 51, 522?

You can find a detailed procedure to find GCD of 822, 270, 51, 522 on our page.

3. How to find GCD of 822, 270, 51, 522 on a calculator?

You can find the GCD of 822, 270, 51, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.