GCD of 328, 390, 90, 340 Calculator

Given Input numbers are 328, 390, 90, 340

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 328, 390, 90, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 390, 90, 340 is 2.

Therefore, GCD of numbers 328, 390, 90, 340 is 2

Given Input Data is 328, 390, 90, 340

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(328, 390) = 63960

GCD(328, 390) = ( 328 x 390 ) / 63960

GCD(328, 390) = 127920 / 63960

GCD(328, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 328, 390, 90, 340 is 2

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1. What is the GCD of 328, 390, 90, 340?

GCD of 328, 390, 90, 340 is 2

2. Where do I get the detailed procedure to find GCD of 328, 390, 90, 340?

You can find a detailed procedure to find GCD of 328, 390, 90, 340 on our page.

3. How to find GCD of 328, 390, 90, 340 on a calculator?

You can find the GCD of 328, 390, 90, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.