GCD of 800, 404, 22, 526 Calculator

Given Input numbers are 800, 404, 22, 526

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

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 800, 404, 22, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 404, 22, 526 is 2.

Therefore, GCD of numbers 800, 404, 22, 526 is 2

Given Input Data is 800, 404, 22, 526

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

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 22 is 2 x 11

Prime Factorization of 526 is 2 x 263

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(800, 404) = 80800

GCD(800, 404) = ( 800 x 404 ) / 80800

GCD(800, 404) = 323200 / 80800

GCD(800, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 526

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

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

GCD(2, 526) = 1052 / 526

GCD(2, 526) = 2

GCD of 800, 404, 22, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 362, 94, 976
• GCD of 825, 823, 24, 443
• GCD of 648, 586, 12, 111
• GCD of 362, 597, 65, 521
• GCD of 634, 915, 86, 100

1. What is the GCD of 800, 404, 22, 526?

GCD of 800, 404, 22, 526 is 2

2. Where do I get the detailed procedure to find GCD of 800, 404, 22, 526?

You can find a detailed procedure to find GCD of 800, 404, 22, 526 on our page.

3. How to find GCD of 800, 404, 22, 526 on a calculator?

You can find the GCD of 800, 404, 22, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.