GCD of 394, 461, 82, 682 Calculator

Given Input numbers are 394, 461, 82, 682

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 394, 461, 82, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 461, 82, 682 is 1.

Therefore, GCD of numbers 394, 461, 82, 682 is 1

Given Input Data is 394, 461, 82, 682

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 461 is 461

Prime Factorization of 82 is 2 x 41

Prime Factorization of 682 is 2 x 11 x 31

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, 461) = 181634

GCD(394, 461) = ( 394 x 461 ) / 181634

GCD(394, 461) = 181634 / 181634

GCD(394, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 394, 461, 82, 682 is 1

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1. What is the GCD of 394, 461, 82, 682?

GCD of 394, 461, 82, 682 is 1

2. Where do I get the detailed procedure to find GCD of 394, 461, 82, 682?

You can find a detailed procedure to find GCD of 394, 461, 82, 682 on our page.

3. How to find GCD of 394, 461, 82, 682 on a calculator?

You can find the GCD of 394, 461, 82, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.