GCD of 290, 422, 90, 928 Calculator

Given Input numbers are 290, 422, 90, 928

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 290, 422, 90, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 422, 90, 928 is 2.

Therefore, GCD of numbers 290, 422, 90, 928 is 2

Given Input Data is 290, 422, 90, 928

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 422 is 2 x 211

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(290, 422) = 61190

GCD(290, 422) = ( 290 x 422 ) / 61190

GCD(290, 422) = 122380 / 61190

GCD(290, 422) = 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 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 290, 422, 90, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 753, 13, 352
• GCD of 487, 869, 74, 469
• GCD of 752, 944, 37, 388
• GCD of 288, 895, 40, 835
• GCD of 206, 218, 13, 928

1. What is the GCD of 290, 422, 90, 928?

GCD of 290, 422, 90, 928 is 2

2. Where do I get the detailed procedure to find GCD of 290, 422, 90, 928?

You can find a detailed procedure to find GCD of 290, 422, 90, 928 on our page.

3. How to find GCD of 290, 422, 90, 928 on a calculator?

You can find the GCD of 290, 422, 90, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.