GCD of 220, 798, 510, 427 Calculator

Given Input numbers are 220, 798, 510, 427

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 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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 220, 798, 510, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 798, 510, 427 is 1.

Therefore, GCD of numbers 220, 798, 510, 427 is 1

Given Input Data is 220, 798, 510, 427

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 427 is 7 x 61

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, 798) = 87780

GCD(220, 798) = ( 220 x 798 ) / 87780

GCD(220, 798) = 175560 / 87780

GCD(220, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 220, 798, 510, 427 is 1

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1. What is the GCD of 220, 798, 510, 427?

GCD of 220, 798, 510, 427 is 1

2. Where do I get the detailed procedure to find GCD of 220, 798, 510, 427?

You can find a detailed procedure to find GCD of 220, 798, 510, 427 on our page.

3. How to find GCD of 220, 798, 510, 427 on a calculator?

You can find the GCD of 220, 798, 510, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.