GCD of 394, 992, 829, 743 Calculator

Given Input numbers are 394, 992, 829, 743

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 394, 992, 829, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 992, 829, 743 is 1.

Therefore, GCD of numbers 394, 992, 829, 743 is 1

Given Input Data is 394, 992, 829, 743

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

Prime Factorization of 394 is 2 x 197

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

Prime Factorization of 829 is 829

Prime Factorization of 743 is 743

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(394, 992) = 195424

GCD(394, 992) = ( 394 x 992 ) / 195424

GCD(394, 992) = 390848 / 195424

GCD(394, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 394, 992, 829, 743 is 1

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1. What is the GCD of 394, 992, 829, 743?

GCD of 394, 992, 829, 743 is 1

2. Where do I get the detailed procedure to find GCD of 394, 992, 829, 743?

You can find a detailed procedure to find GCD of 394, 992, 829, 743 on our page.

3. How to find GCD of 394, 992, 829, 743 on a calculator?

You can find the GCD of 394, 992, 829, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.