GCD of 230, 102, 722, 664 Calculator

Given Input numbers are 230, 102, 722, 664

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 230, 102, 722, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 102, 722, 664 is 2.

Therefore, GCD of numbers 230, 102, 722, 664 is 2

Given Input Data is 230, 102, 722, 664

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(230, 102) = 11730

GCD(230, 102) = ( 230 x 102 ) / 11730

GCD(230, 102) = 23460 / 11730

GCD(230, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 230, 102, 722, 664 is 2

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1. What is the GCD of 230, 102, 722, 664?

GCD of 230, 102, 722, 664 is 2

2. Where do I get the detailed procedure to find GCD of 230, 102, 722, 664?

You can find a detailed procedure to find GCD of 230, 102, 722, 664 on our page.

3. How to find GCD of 230, 102, 722, 664 on a calculator?

You can find the GCD of 230, 102, 722, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.