GCD of 240, 382, 587, 417 Calculator

Given Input numbers are 240, 382, 587, 417

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 382

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

1, 2, 191, 382

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 417

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

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 240, 382, 587, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 382, 587, 417 is 1.

Therefore, GCD of numbers 240, 382, 587, 417 is 1

Given Input Data is 240, 382, 587, 417

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 382 is 2 x 191

Prime Factorization of 587 is 587

Prime Factorization of 417 is 3 x 139

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(240, 382) = 45840

GCD(240, 382) = ( 240 x 382 ) / 45840

GCD(240, 382) = 91680 / 45840

GCD(240, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 587

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

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

GCD(2, 587) = 1174 / 1174

GCD(2, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 240, 382, 587, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 196, 622, 280
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• GCD of 622, 841, 916, 782

1. What is the GCD of 240, 382, 587, 417?

GCD of 240, 382, 587, 417 is 1

2. Where do I get the detailed procedure to find GCD of 240, 382, 587, 417?

You can find a detailed procedure to find GCD of 240, 382, 587, 417 on our page.

3. How to find GCD of 240, 382, 587, 417 on a calculator?

You can find the GCD of 240, 382, 587, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.