GCD of 712, 992, 395, 779 Calculator

Given Input numbers are 712, 992, 395, 779

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 779

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

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 712, 992, 395, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 992, 395, 779 is 1.

Therefore, GCD of numbers 712, 992, 395, 779 is 1

Given Input Data is 712, 992, 395, 779

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 395 is 5 x 79

Prime Factorization of 779 is 19 x 41

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(712, 992) = 88288

GCD(712, 992) = ( 712 x 992 ) / 88288

GCD(712, 992) = 706304 / 88288

GCD(712, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 395

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

LCM(8, 395) = 3160

GCD(8, 395) = ( 8 x 395 ) / 3160

GCD(8, 395) = 3160 / 3160

GCD(8, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 712, 992, 395, 779 is 1

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1. What is the GCD of 712, 992, 395, 779?

GCD of 712, 992, 395, 779 is 1

2. Where do I get the detailed procedure to find GCD of 712, 992, 395, 779?

You can find a detailed procedure to find GCD of 712, 992, 395, 779 on our page.

3. How to find GCD of 712, 992, 395, 779 on a calculator?

You can find the GCD of 712, 992, 395, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.