GCD of 220, 505, 798, 396 Calculator

Given Input numbers are 220, 505, 798, 396

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

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 220, 505, 798, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 505, 798, 396 is 1.

Therefore, GCD of numbers 220, 505, 798, 396 is 1

Given Input Data is 220, 505, 798, 396

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

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(220, 505) = 22220

GCD(220, 505) = ( 220 x 505 ) / 22220

GCD(220, 505) = 111100 / 22220

GCD(220, 505) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 798

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

LCM(5, 798) = 3990

GCD(5, 798) = ( 5 x 798 ) / 3990

GCD(5, 798) = 3990 / 3990

GCD(5, 798) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 220, 505, 798, 396 is 1

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1. What is the GCD of 220, 505, 798, 396?

GCD of 220, 505, 798, 396 is 1

2. Where do I get the detailed procedure to find GCD of 220, 505, 798, 396?

You can find a detailed procedure to find GCD of 220, 505, 798, 396 on our page.

3. How to find GCD of 220, 505, 798, 396 on a calculator?

You can find the GCD of 220, 505, 798, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.