GCD of 99, 816, 524, 624 Calculator

Given Input numbers are 99, 816, 524, 624

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 99, 816, 524, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 816, 524, 624 is 1.

Therefore, GCD of numbers 99, 816, 524, 624 is 1

Given Input Data is 99, 816, 524, 624

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

Prime Factorization of 99 is 3 x 3 x 11

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(99, 816) = 26928

GCD(99, 816) = ( 99 x 816 ) / 26928

GCD(99, 816) = 80784 / 26928

GCD(99, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 524

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

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

GCD(3, 524) = 1572 / 1572

GCD(3, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 99, 816, 524, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 573, 447, 503
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• GCD of 74, 540, 165, 163
• GCD of 82, 534, 192, 242
• GCD of 66, 231, 587, 953

1. What is the GCD of 99, 816, 524, 624?

GCD of 99, 816, 524, 624 is 1

2. Where do I get the detailed procedure to find GCD of 99, 816, 524, 624?

You can find a detailed procedure to find GCD of 99, 816, 524, 624 on our page.

3. How to find GCD of 99, 816, 524, 624 on a calculator?

You can find the GCD of 99, 816, 524, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.