GCD of 687, 322, 106, 552 Calculator

Given Input numbers are 687, 322, 106, 552

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 687, 322, 106, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 322, 106, 552 is 1.

Therefore, GCD of numbers 687, 322, 106, 552 is 1

Given Input Data is 687, 322, 106, 552

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 106 is 2 x 53

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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, 322) = 221214

GCD(687, 322) = ( 687 x 322 ) / 221214

GCD(687, 322) = 221214 / 221214

GCD(687, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 687, 322, 106, 552 is 1

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1. What is the GCD of 687, 322, 106, 552?

GCD of 687, 322, 106, 552 is 1

2. Where do I get the detailed procedure to find GCD of 687, 322, 106, 552?

You can find a detailed procedure to find GCD of 687, 322, 106, 552 on our page.

3. How to find GCD of 687, 322, 106, 552 on a calculator?

You can find the GCD of 687, 322, 106, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.