GCD of 519, 423, 984, 220 Calculator

Given Input numbers are 519, 423, 984, 220

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

Greatest Common Divisior

We found the divisors of 519, 423, 984, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 423, 984, 220 is 1.

Therefore, GCD of numbers 519, 423, 984, 220 is 1

Given Input Data is 519, 423, 984, 220

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 220 is 2 x 2 x 5 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(519, 423) = 73179

GCD(519, 423) = ( 519 x 423 ) / 73179

GCD(519, 423) = 219537 / 73179

GCD(519, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

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

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 220

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

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

GCD(3, 220) = 660 / 660

GCD(3, 220) = 1

GCD of 519, 423, 984, 220 is 1

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1. What is the GCD of 519, 423, 984, 220?

GCD of 519, 423, 984, 220 is 1

2. Where do I get the detailed procedure to find GCD of 519, 423, 984, 220?

You can find a detailed procedure to find GCD of 519, 423, 984, 220 on our page.

3. How to find GCD of 519, 423, 984, 220 on a calculator?

You can find the GCD of 519, 423, 984, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.