GCD of 28, 890, 458, 800 Calculator

Given Input numbers are 28, 890, 458, 800

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 28, 890, 458, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 890, 458, 800 is 2.

Therefore, GCD of numbers 28, 890, 458, 800 is 2

Given Input Data is 28, 890, 458, 800

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 458 is 2 x 229

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(28, 890) = 12460

GCD(28, 890) = ( 28 x 890 ) / 12460

GCD(28, 890) = 24920 / 12460

GCD(28, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 28, 890, 458, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 423, 684, 850
• GCD of 91, 890, 816, 462
• GCD of 58, 691, 960, 928
• GCD of 73, 482, 580, 761
• GCD of 94, 271, 371, 938

1. What is the GCD of 28, 890, 458, 800?

GCD of 28, 890, 458, 800 is 2

2. Where do I get the detailed procedure to find GCD of 28, 890, 458, 800?

You can find a detailed procedure to find GCD of 28, 890, 458, 800 on our page.

3. How to find GCD of 28, 890, 458, 800 on a calculator?

You can find the GCD of 28, 890, 458, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.