GCD of 590, 838, 464 Calculator

Given Input numbers are 590, 838, 464

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 590, 838, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 838, 464 is 2.

Therefore, GCD of numbers 590, 838, 464 is 2

Given Input Data is 590, 838, 464

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 838 is 2 x 419

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(590, 838) = 247210

GCD(590, 838) = ( 590 x 838 ) / 247210

GCD(590, 838) = 494420 / 247210

GCD(590, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 590, 838, 464 is 2

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1. What is the GCD of 590, 838, 464?

GCD of 590, 838, 464 is 2

2. Where do I get the detailed procedure to find GCD of 590, 838, 464?

You can find a detailed procedure to find GCD of 590, 838, 464 on our page.

3. How to find GCD of 590, 838, 464 on a calculator?

You can find the GCD of 590, 838, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.