GCD of 728, 959, 78, 822 Calculator

Given Input numbers are 728, 959, 78, 822

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 728, 959, 78, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 959, 78, 822 is 1.

Therefore, GCD of numbers 728, 959, 78, 822 is 1

Given Input Data is 728, 959, 78, 822

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 959 is 7 x 137

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 822 is 2 x 3 x 137

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(728, 959) = 99736

GCD(728, 959) = ( 728 x 959 ) / 99736

GCD(728, 959) = 698152 / 99736

GCD(728, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 78

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

LCM(7, 78) = 546

GCD(7, 78) = ( 7 x 78 ) / 546

GCD(7, 78) = 546 / 546

GCD(7, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 728, 959, 78, 822 is 1

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• GCD of 886, 623, 29, 891
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• GCD of 597, 507, 49, 803

1. What is the GCD of 728, 959, 78, 822?

GCD of 728, 959, 78, 822 is 1

2. Where do I get the detailed procedure to find GCD of 728, 959, 78, 822?

You can find a detailed procedure to find GCD of 728, 959, 78, 822 on our page.

3. How to find GCD of 728, 959, 78, 822 on a calculator?

You can find the GCD of 728, 959, 78, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.