GCD of 796, 723, 10, 295 Calculator

Given Input numbers are 796, 723, 10, 295

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 10

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

1, 2, 5, 10

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 796, 723, 10, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 723, 10, 295 is 1.

Therefore, GCD of numbers 796, 723, 10, 295 is 1

Given Input Data is 796, 723, 10, 295

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 723 is 3 x 241

Prime Factorization of 10 is 2 x 5

Prime Factorization of 295 is 5 x 59

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(796, 723) = 575508

GCD(796, 723) = ( 796 x 723 ) / 575508

GCD(796, 723) = 575508 / 575508

GCD(796, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 796, 723, 10, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 541, 44, 558
• GCD of 842, 585, 24, 399
• GCD of 928, 459, 47, 950
• GCD of 294, 347, 57, 930
• GCD of 417, 664, 37, 586

1. What is the GCD of 796, 723, 10, 295?

GCD of 796, 723, 10, 295 is 1

2. Where do I get the detailed procedure to find GCD of 796, 723, 10, 295?

You can find a detailed procedure to find GCD of 796, 723, 10, 295 on our page.

3. How to find GCD of 796, 723, 10, 295 on a calculator?

You can find the GCD of 796, 723, 10, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.