GCD of 394, 586, 820, 610 Calculator

Given Input numbers are 394, 586, 820, 610

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 394, 586, 820, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 586, 820, 610 is 2.

Therefore, GCD of numbers 394, 586, 820, 610 is 2

Given Input Data is 394, 586, 820, 610

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 586 is 2 x 293

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 610 is 2 x 5 x 61

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(394, 586) = 115442

GCD(394, 586) = ( 394 x 586 ) / 115442

GCD(394, 586) = 230884 / 115442

GCD(394, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 394, 586, 820, 610 is 2

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1. What is the GCD of 394, 586, 820, 610?

GCD of 394, 586, 820, 610 is 2

2. Where do I get the detailed procedure to find GCD of 394, 586, 820, 610?

You can find a detailed procedure to find GCD of 394, 586, 820, 610 on our page.

3. How to find GCD of 394, 586, 820, 610 on a calculator?

You can find the GCD of 394, 586, 820, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.