GCD of 290, 128, 297, 390 Calculator

Given Input numbers are 290, 128, 297, 390

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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 290, 128, 297, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 128, 297, 390 is 1.

Therefore, GCD of numbers 290, 128, 297, 390 is 1

Given Input Data is 290, 128, 297, 390

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(290, 128) = 18560

GCD(290, 128) = ( 290 x 128 ) / 18560

GCD(290, 128) = 37120 / 18560

GCD(290, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 290, 128, 297, 390 is 1

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1. What is the GCD of 290, 128, 297, 390?

GCD of 290, 128, 297, 390 is 1

2. Where do I get the detailed procedure to find GCD of 290, 128, 297, 390?

You can find a detailed procedure to find GCD of 290, 128, 297, 390 on our page.

3. How to find GCD of 290, 128, 297, 390 on a calculator?

You can find the GCD of 290, 128, 297, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.