GCD of 687, 564, 871, 462 Calculator

Given Input numbers are 687, 564, 871, 462

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 687, 564, 871, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 564, 871, 462 is 1.

Therefore, GCD of numbers 687, 564, 871, 462 is 1

Given Input Data is 687, 564, 871, 462

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 871 is 13 x 67

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 564) = 129156

GCD(687, 564) = ( 687 x 564 ) / 129156

GCD(687, 564) = 387468 / 129156

GCD(687, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 687, 564, 871, 462 is 1

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1. What is the GCD of 687, 564, 871, 462?

GCD of 687, 564, 871, 462 is 1

2. Where do I get the detailed procedure to find GCD of 687, 564, 871, 462?

You can find a detailed procedure to find GCD of 687, 564, 871, 462 on our page.

3. How to find GCD of 687, 564, 871, 462 on a calculator?

You can find the GCD of 687, 564, 871, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.