GCD of 578, 802, 366, 390 Calculator

Given Input numbers are 578, 802, 366, 390

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 578, 802, 366, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 802, 366, 390 is 2.

Therefore, GCD of numbers 578, 802, 366, 390 is 2

Given Input Data is 578, 802, 366, 390

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(578, 802) = 231778

GCD(578, 802) = ( 578 x 802 ) / 231778

GCD(578, 802) = 463556 / 231778

GCD(578, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 578, 802, 366, 390 is 2

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1. What is the GCD of 578, 802, 366, 390?

GCD of 578, 802, 366, 390 is 2

2. Where do I get the detailed procedure to find GCD of 578, 802, 366, 390?

You can find a detailed procedure to find GCD of 578, 802, 366, 390 on our page.

3. How to find GCD of 578, 802, 366, 390 on a calculator?

You can find the GCD of 578, 802, 366, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.