GCD of 582, 742, 590, 340 Calculator

Given Input numbers are 582, 742, 590, 340

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 742

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

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

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 582, 742, 590, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 742, 590, 340 is 2.

Therefore, GCD of numbers 582, 742, 590, 340 is 2

Given Input Data is 582, 742, 590, 340

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(582, 742) = 215922

GCD(582, 742) = ( 582 x 742 ) / 215922

GCD(582, 742) = 431844 / 215922

GCD(582, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 582, 742, 590, 340 is 2

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1. What is the GCD of 582, 742, 590, 340?

GCD of 582, 742, 590, 340 is 2

2. Where do I get the detailed procedure to find GCD of 582, 742, 590, 340?

You can find a detailed procedure to find GCD of 582, 742, 590, 340 on our page.

3. How to find GCD of 582, 742, 590, 340 on a calculator?

You can find the GCD of 582, 742, 590, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.