GCD of 590, 581, 781, 742 Calculator

Given Input numbers are 590, 581, 781, 742

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 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 590, 581, 781, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 581, 781, 742 is 1.

Therefore, GCD of numbers 590, 581, 781, 742 is 1

Given Input Data is 590, 581, 781, 742

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 581 is 7 x 83

Prime Factorization of 781 is 11 x 71

Prime Factorization of 742 is 2 x 7 x 53

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, 581) = 342790

GCD(590, 581) = ( 590 x 581 ) / 342790

GCD(590, 581) = 342790 / 342790

GCD(590, 581) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 590, 581, 781, 742 is 1

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1. What is the GCD of 590, 581, 781, 742?

GCD of 590, 581, 781, 742 is 1

2. Where do I get the detailed procedure to find GCD of 590, 581, 781, 742?

You can find a detailed procedure to find GCD of 590, 581, 781, 742 on our page.

3. How to find GCD of 590, 581, 781, 742 on a calculator?

You can find the GCD of 590, 581, 781, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.