GCD of 99, 654, 312, 684 Calculator

Given Input numbers are 99, 654, 312, 684

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 99, 654, 312, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 654, 312, 684 is 3.

Therefore, GCD of numbers 99, 654, 312, 684 is 3

Given Input Data is 99, 654, 312, 684

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 654 is 2 x 3 x 109

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(99, 654) = 21582

GCD(99, 654) = ( 99 x 654 ) / 21582

GCD(99, 654) = 64746 / 21582

GCD(99, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

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

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

GCD of 99, 654, 312, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 674, 691, 999
• GCD of 24, 749, 823, 585
• GCD of 45, 237, 277, 915
• GCD of 94, 421, 792, 646
• GCD of 40, 232, 812, 214

1. What is the GCD of 99, 654, 312, 684?

GCD of 99, 654, 312, 684 is 3

2. Where do I get the detailed procedure to find GCD of 99, 654, 312, 684?

You can find a detailed procedure to find GCD of 99, 654, 312, 684 on our page.

3. How to find GCD of 99, 654, 312, 684 on a calculator?

You can find the GCD of 99, 654, 312, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.