GCD of 623, 221, 689, 520 Calculator

Given Input numbers are 623, 221, 689, 520

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

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 623, 221, 689, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 221, 689, 520 is 1.

Therefore, GCD of numbers 623, 221, 689, 520 is 1

Given Input Data is 623, 221, 689, 520

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 221 is 13 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(623, 221) = 137683

GCD(623, 221) = ( 623 x 221 ) / 137683

GCD(623, 221) = 137683 / 137683

GCD(623, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 623, 221, 689, 520 is 1

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1. What is the GCD of 623, 221, 689, 520?

GCD of 623, 221, 689, 520 is 1

2. Where do I get the detailed procedure to find GCD of 623, 221, 689, 520?

You can find a detailed procedure to find GCD of 623, 221, 689, 520 on our page.

3. How to find GCD of 623, 221, 689, 520 on a calculator?

You can find the GCD of 623, 221, 689, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.