GCD of 512, 742, 590 Calculator

Given Input numbers are 512, 742, 590

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

Greatest Common Divisior

We found the divisors of 512, 742, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 742, 590 is 2.

Therefore, GCD of numbers 512, 742, 590 is 2

Given Input Data is 512, 742, 590

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 590 is 2 x 5 x 59

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(512, 742) = 189952

GCD(512, 742) = ( 512 x 742 ) / 189952

GCD(512, 742) = 379904 / 189952

GCD(512, 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

GCD of 512, 742, 590 is 2

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1. What is the GCD of 512, 742, 590?

GCD of 512, 742, 590 is 2

2. Where do I get the detailed procedure to find GCD of 512, 742, 590?

You can find a detailed procedure to find GCD of 512, 742, 590 on our page.

3. How to find GCD of 512, 742, 590 on a calculator?

You can find the GCD of 512, 742, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.