GCD of 288, 236, 687, 637 Calculator

Given Input numbers are 288, 236, 687, 637

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 288, 236, 687, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 236, 687, 637 is 1.

Therefore, GCD of numbers 288, 236, 687, 637 is 1

Given Input Data is 288, 236, 687, 637

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 687 is 3 x 229

Prime Factorization of 637 is 7 x 7 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(288, 236) = 16992

GCD(288, 236) = ( 288 x 236 ) / 16992

GCD(288, 236) = 67968 / 16992

GCD(288, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 288, 236, 687, 637 is 1

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1. What is the GCD of 288, 236, 687, 637?

GCD of 288, 236, 687, 637 is 1

2. Where do I get the detailed procedure to find GCD of 288, 236, 687, 637?

You can find a detailed procedure to find GCD of 288, 236, 687, 637 on our page.

3. How to find GCD of 288, 236, 687, 637 on a calculator?

You can find the GCD of 288, 236, 687, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.