GCD of 590, 414, 687, 455 Calculator

Given Input numbers are 590, 414, 687, 455

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 590, 414, 687, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 414, 687, 455 is 1.

Therefore, GCD of numbers 590, 414, 687, 455 is 1

Given Input Data is 590, 414, 687, 455

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 687 is 3 x 229

Prime Factorization of 455 is 5 x 7 x 13

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(590, 414) = 122130

GCD(590, 414) = ( 590 x 414 ) / 122130

GCD(590, 414) = 244260 / 122130

GCD(590, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 590, 414, 687, 455 is 1

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• GCD of 256, 314, 987, 696
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• GCD of 629, 648, 494, 731

1. What is the GCD of 590, 414, 687, 455?

GCD of 590, 414, 687, 455 is 1

2. Where do I get the detailed procedure to find GCD of 590, 414, 687, 455?

You can find a detailed procedure to find GCD of 590, 414, 687, 455 on our page.

3. How to find GCD of 590, 414, 687, 455 on a calculator?

You can find the GCD of 590, 414, 687, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.