GCD of 417, 674, 382 Calculator

Given Input numbers are 417, 674, 382

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 417, 674, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 674, 382 is 1.

Therefore, GCD of numbers 417, 674, 382 is 1

Given Input Data is 417, 674, 382

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 674 is 2 x 337

Prime Factorization of 382 is 2 x 191

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(417, 674) = 281058

GCD(417, 674) = ( 417 x 674 ) / 281058

GCD(417, 674) = 281058 / 281058

GCD(417, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 417, 674, 382 is 1

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1. What is the GCD of 417, 674, 382?

GCD of 417, 674, 382 is 1

2. Where do I get the detailed procedure to find GCD of 417, 674, 382?

You can find a detailed procedure to find GCD of 417, 674, 382 on our page.

3. How to find GCD of 417, 674, 382 on a calculator?

You can find the GCD of 417, 674, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.