GCD of 688, 922, 856, 223 Calculator

Given Input numbers are 688, 922, 856, 223

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 688, 922, 856, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 922, 856, 223 is 1.

Therefore, GCD of numbers 688, 922, 856, 223 is 1

Given Input Data is 688, 922, 856, 223

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 922 is 2 x 461

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 223 is 223

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(688, 922) = 317168

GCD(688, 922) = ( 688 x 922 ) / 317168

GCD(688, 922) = 634336 / 317168

GCD(688, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

GCD of 688, 922, 856, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 768, 374, 243
• GCD of 679, 237, 315, 489
• GCD of 231, 788, 686, 221
• GCD of 132, 353, 673, 215
• GCD of 106, 871, 945, 107

1. What is the GCD of 688, 922, 856, 223?

GCD of 688, 922, 856, 223 is 1

2. Where do I get the detailed procedure to find GCD of 688, 922, 856, 223?

You can find a detailed procedure to find GCD of 688, 922, 856, 223 on our page.

3. How to find GCD of 688, 922, 856, 223 on a calculator?

You can find the GCD of 688, 922, 856, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.