GCD of 740, 407, 559 Calculator

Given Input numbers are 740, 407, 559

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 740, 407, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 407, 559 is 1.

Therefore, GCD of numbers 740, 407, 559 is 1

Given Input Data is 740, 407, 559

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 407 is 11 x 37

Prime Factorization of 559 is 13 x 43

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(740, 407) = 8140

GCD(740, 407) = ( 740 x 407 ) / 8140

GCD(740, 407) = 301180 / 8140

GCD(740, 407) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 559

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

LCM(37, 559) = 20683

GCD(37, 559) = ( 37 x 559 ) / 20683

GCD(37, 559) = 20683 / 20683

GCD(37, 559) = 1

GCD of 740, 407, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 975, 180
• GCD of 502, 961, 210
• GCD of 400, 258, 883
• GCD of 292, 762, 949
• GCD of 253, 420, 508

1. What is the GCD of 740, 407, 559?

GCD of 740, 407, 559 is 1

2. Where do I get the detailed procedure to find GCD of 740, 407, 559?

You can find a detailed procedure to find GCD of 740, 407, 559 on our page.

3. How to find GCD of 740, 407, 559 on a calculator?

You can find the GCD of 740, 407, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.