GCD of 779, 892, 72, 831 Calculator

Given Input numbers are 779, 892, 72, 831

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 779, 892, 72, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 892, 72, 831 is 1.

Therefore, GCD of numbers 779, 892, 72, 831 is 1

Given Input Data is 779, 892, 72, 831

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 831 is 3 x 277

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(779, 892) = 694868

GCD(779, 892) = ( 779 x 892 ) / 694868

GCD(779, 892) = 694868 / 694868

GCD(779, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 779, 892, 72, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 856, 62, 356
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• GCD of 177, 436, 29, 822

1. What is the GCD of 779, 892, 72, 831?

GCD of 779, 892, 72, 831 is 1

2. Where do I get the detailed procedure to find GCD of 779, 892, 72, 831?

You can find a detailed procedure to find GCD of 779, 892, 72, 831 on our page.

3. How to find GCD of 779, 892, 72, 831 on a calculator?

You can find the GCD of 779, 892, 72, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.