GCD of 687, 684, 192, 965 Calculator

Given Input numbers are 687, 684, 192, 965

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

Divisors of 687

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

1, 3, 229, 687

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 687, 684, 192, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 684, 192, 965 is 1.

Therefore, GCD of numbers 687, 684, 192, 965 is 1

Given Input Data is 687, 684, 192, 965

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

Prime Factorization of 687 is 3 x 229

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 965 is 5 x 193

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(687, 684) = 156636

GCD(687, 684) = ( 687 x 684 ) / 156636

GCD(687, 684) = 469908 / 156636

GCD(687, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 192

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

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

GCD(3, 192) = 576 / 192

GCD(3, 192) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 965

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

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

GCD(3, 965) = 2895 / 2895

GCD(3, 965) = 1

GCD of 687, 684, 192, 965 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 687, 684, 192, 965?

GCD of 687, 684, 192, 965 is 1

2. Where do I get the detailed procedure to find GCD of 687, 684, 192, 965?

You can find a detailed procedure to find GCD of 687, 684, 192, 965 on our page.

3. How to find GCD of 687, 684, 192, 965 on a calculator?

You can find the GCD of 687, 684, 192, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.