GCD of 744, 836, 920, 318 Calculator

Given Input numbers are 744, 836, 920, 318

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 318

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

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

Greatest Common Divisior

We found the divisors of 744, 836, 920, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 836, 920, 318 is 2.

Therefore, GCD of numbers 744, 836, 920, 318 is 2

Given Input Data is 744, 836, 920, 318

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 318 is 2 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(744, 836) = 155496

GCD(744, 836) = ( 744 x 836 ) / 155496

GCD(744, 836) = 621984 / 155496

GCD(744, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 920

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

LCM(4, 920) = 920

GCD(4, 920) = ( 4 x 920 ) / 920

GCD(4, 920) = 3680 / 920

GCD(4, 920) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 318

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

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

GCD(4, 318) = 1272 / 636

GCD(4, 318) = 2

GCD of 744, 836, 920, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 836, 697, 677
• GCD of 516, 877, 502, 146
• GCD of 582, 333, 573, 730
• GCD of 211, 536, 913, 832
• GCD of 745, 345, 356, 418

1. What is the GCD of 744, 836, 920, 318?

GCD of 744, 836, 920, 318 is 2

2. Where do I get the detailed procedure to find GCD of 744, 836, 920, 318?

You can find a detailed procedure to find GCD of 744, 836, 920, 318 on our page.

3. How to find GCD of 744, 836, 920, 318 on a calculator?

You can find the GCD of 744, 836, 920, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.