GCD of 532, 814, 220, 404 Calculator

Given Input numbers are 532, 814, 220, 404

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 532, 814, 220, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 814, 220, 404 is 2.

Therefore, GCD of numbers 532, 814, 220, 404 is 2

Given Input Data is 532, 814, 220, 404

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 404 is 2 x 2 x 101

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(532, 814) = 216524

GCD(532, 814) = ( 532 x 814 ) / 216524

GCD(532, 814) = 433048 / 216524

GCD(532, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 532, 814, 220, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 203, 819, 205
• GCD of 619, 275, 225, 802
• GCD of 986, 846, 426, 551
• GCD of 572, 342, 762, 577
• GCD of 663, 600, 409, 668

1. What is the GCD of 532, 814, 220, 404?

GCD of 532, 814, 220, 404 is 2

2. Where do I get the detailed procedure to find GCD of 532, 814, 220, 404?

You can find a detailed procedure to find GCD of 532, 814, 220, 404 on our page.

3. How to find GCD of 532, 814, 220, 404 on a calculator?

You can find the GCD of 532, 814, 220, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.