GCD of 914, 744, 10, 823 Calculator

Given Input numbers are 914, 744, 10, 823

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 914, 744, 10, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 744, 10, 823 is 1.

Therefore, GCD of numbers 914, 744, 10, 823 is 1

Given Input Data is 914, 744, 10, 823

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

Prime Factorization of 914 is 2 x 457

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 823 is 823

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(914, 744) = 340008

GCD(914, 744) = ( 914 x 744 ) / 340008

GCD(914, 744) = 680016 / 340008

GCD(914, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 914, 744, 10, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 129, 75, 317
• GCD of 339, 815, 69, 529
• GCD of 913, 452, 44, 815
• GCD of 933, 425, 25, 497
• GCD of 660, 747, 63, 167

1. What is the GCD of 914, 744, 10, 823?

GCD of 914, 744, 10, 823 is 1

2. Where do I get the detailed procedure to find GCD of 914, 744, 10, 823?

You can find a detailed procedure to find GCD of 914, 744, 10, 823 on our page.

3. How to find GCD of 914, 744, 10, 823 on a calculator?

You can find the GCD of 914, 744, 10, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.