GCD of 417, 390, 588, 107 Calculator

Given Input numbers are 417, 390, 588, 107

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 417, 390, 588, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 390, 588, 107 is 1.

Therefore, GCD of numbers 417, 390, 588, 107 is 1

Given Input Data is 417, 390, 588, 107

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 107 is 107

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, 390) = 54210

GCD(417, 390) = ( 417 x 390 ) / 54210

GCD(417, 390) = 162630 / 54210

GCD(417, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 588

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

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

GCD(3, 588) = 1764 / 588

GCD(3, 588) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 107

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

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

GCD(3, 107) = 321 / 321

GCD(3, 107) = 1

GCD of 417, 390, 588, 107 is 1

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1. What is the GCD of 417, 390, 588, 107?

GCD of 417, 390, 588, 107 is 1

2. Where do I get the detailed procedure to find GCD of 417, 390, 588, 107?

You can find a detailed procedure to find GCD of 417, 390, 588, 107 on our page.

3. How to find GCD of 417, 390, 588, 107 on a calculator?

You can find the GCD of 417, 390, 588, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.