GCD of 688, 636, 936, 360 Calculator

Given Input numbers are 688, 636, 936, 360

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 688, 636, 936, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 636, 936, 360 is 4.

Therefore, GCD of numbers 688, 636, 936, 360 is 4

Given Input Data is 688, 636, 936, 360

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(688, 636) = 109392

GCD(688, 636) = ( 688 x 636 ) / 109392

GCD(688, 636) = 437568 / 109392

GCD(688, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 936

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

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

GCD(4, 936) = 3744 / 936

GCD(4, 936) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 360

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

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

GCD(4, 360) = 1440 / 360

GCD(4, 360) = 4

GCD of 688, 636, 936, 360 is 4

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1. What is the GCD of 688, 636, 936, 360?

GCD of 688, 636, 936, 360 is 4

2. Where do I get the detailed procedure to find GCD of 688, 636, 936, 360?

You can find a detailed procedure to find GCD of 688, 636, 936, 360 on our page.

3. How to find GCD of 688, 636, 936, 360 on a calculator?

You can find the GCD of 688, 636, 936, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.