GCD of 580, 694, 458 Calculator

Given Input numbers are 580, 694, 458

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 580, 694, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 694, 458 is 2.

Therefore, GCD of numbers 580, 694, 458 is 2

Given Input Data is 580, 694, 458

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 694 is 2 x 347

Prime Factorization of 458 is 2 x 229

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(580, 694) = 201260

GCD(580, 694) = ( 580 x 694 ) / 201260

GCD(580, 694) = 402520 / 201260

GCD(580, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 580, 694, 458 is 2

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1. What is the GCD of 580, 694, 458?

GCD of 580, 694, 458 is 2

2. Where do I get the detailed procedure to find GCD of 580, 694, 458?

You can find a detailed procedure to find GCD of 580, 694, 458 on our page.

3. How to find GCD of 580, 694, 458 on a calculator?

You can find the GCD of 580, 694, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.