GCD of 816, 522, 62, 650 Calculator

Given Input numbers are 816, 522, 62, 650

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 816, 522, 62, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 522, 62, 650 is 2.

Therefore, GCD of numbers 816, 522, 62, 650 is 2

Given Input Data is 816, 522, 62, 650

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(816, 522) = 70992

GCD(816, 522) = ( 816 x 522 ) / 70992

GCD(816, 522) = 425952 / 70992

GCD(816, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 62

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

LCM(6, 62) = 186

GCD(6, 62) = ( 6 x 62 ) / 186

GCD(6, 62) = 372 / 186

GCD(6, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 816, 522, 62, 650 is 2

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1. What is the GCD of 816, 522, 62, 650?

GCD of 816, 522, 62, 650 is 2

2. Where do I get the detailed procedure to find GCD of 816, 522, 62, 650?

You can find a detailed procedure to find GCD of 816, 522, 62, 650 on our page.

3. How to find GCD of 816, 522, 62, 650 on a calculator?

You can find the GCD of 816, 522, 62, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.