GCD of 318, 644, 923, 562 Calculator

Given Input numbers are 318, 644, 923, 562

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 318, 644, 923, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 644, 923, 562 is 1.

Therefore, GCD of numbers 318, 644, 923, 562 is 1

Given Input Data is 318, 644, 923, 562

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 923 is 13 x 71

Prime Factorization of 562 is 2 x 281

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(318, 644) = 102396

GCD(318, 644) = ( 318 x 644 ) / 102396

GCD(318, 644) = 204792 / 102396

GCD(318, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 318, 644, 923, 562 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 944, 938, 227
• GCD of 713, 431, 449, 488
• GCD of 728, 649, 709, 101
• GCD of 837, 156, 216, 940
• GCD of 784, 594, 643, 868

1. What is the GCD of 318, 644, 923, 562?

GCD of 318, 644, 923, 562 is 1

2. Where do I get the detailed procedure to find GCD of 318, 644, 923, 562?

You can find a detailed procedure to find GCD of 318, 644, 923, 562 on our page.

3. How to find GCD of 318, 644, 923, 562 on a calculator?

You can find the GCD of 318, 644, 923, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.