GCD of 687, 486, 372, 476 Calculator

Given Input numbers are 687, 486, 372, 476

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 687, 486, 372, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 486, 372, 476 is 1.

Therefore, GCD of numbers 687, 486, 372, 476 is 1

Given Input Data is 687, 486, 372, 476

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 486) = 111294

GCD(687, 486) = ( 687 x 486 ) / 111294

GCD(687, 486) = 333882 / 111294

GCD(687, 486) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 372

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

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

GCD(3, 372) = 1116 / 372

GCD(3, 372) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 476

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

LCM(3, 476) = 1428

GCD(3, 476) = ( 3 x 476 ) / 1428

GCD(3, 476) = 1428 / 1428

GCD(3, 476) = 1

GCD of 687, 486, 372, 476 is 1

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1. What is the GCD of 687, 486, 372, 476?

GCD of 687, 486, 372, 476 is 1

2. Where do I get the detailed procedure to find GCD of 687, 486, 372, 476?

You can find a detailed procedure to find GCD of 687, 486, 372, 476 on our page.

3. How to find GCD of 687, 486, 372, 476 on a calculator?

You can find the GCD of 687, 486, 372, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.