GCD of 696, 936, 990 Calculator

Given Input numbers are 696, 936, 990

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 696, 936, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 936, 990 is 6.

Therefore, GCD of numbers 696, 936, 990 is 6

Given Input Data is 696, 936, 990

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(696, 936) = 27144

GCD(696, 936) = ( 696 x 936 ) / 27144

GCD(696, 936) = 651456 / 27144

GCD(696, 936) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 990

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

LCM(24, 990) = 3960

GCD(24, 990) = ( 24 x 990 ) / 3960

GCD(24, 990) = 23760 / 3960

GCD(24, 990) = 6

GCD of 696, 936, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 439, 202
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1. What is the GCD of 696, 936, 990?

GCD of 696, 936, 990 is 6

2. Where do I get the detailed procedure to find GCD of 696, 936, 990?

You can find a detailed procedure to find GCD of 696, 936, 990 on our page.

3. How to find GCD of 696, 936, 990 on a calculator?

You can find the GCD of 696, 936, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.