GCD of 361, 171, 647, 413 Calculator

Given Input numbers are 361, 171, 647, 413

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 361, 171, 647, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 171, 647, 413 is 1.

Therefore, GCD of numbers 361, 171, 647, 413 is 1

Given Input Data is 361, 171, 647, 413

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 647 is 647

Prime Factorization of 413 is 7 x 59

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(361, 171) = 3249

GCD(361, 171) = ( 361 x 171 ) / 3249

GCD(361, 171) = 61731 / 3249

GCD(361, 171) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 647

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

LCM(19, 647) = 12293

GCD(19, 647) = ( 19 x 647 ) / 12293

GCD(19, 647) = 12293 / 12293

GCD(19, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 361, 171, 647, 413 is 1

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• GCD of 399, 346, 190, 119
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1. What is the GCD of 361, 171, 647, 413?

GCD of 361, 171, 647, 413 is 1

2. Where do I get the detailed procedure to find GCD of 361, 171, 647, 413?

You can find a detailed procedure to find GCD of 361, 171, 647, 413 on our page.

3. How to find GCD of 361, 171, 647, 413 on a calculator?

You can find the GCD of 361, 171, 647, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.