GCD of 230, 468, 70, 568 Calculator

Given Input numbers are 230, 468, 70, 568

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 230, 468, 70, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 468, 70, 568 is 2.

Therefore, GCD of numbers 230, 468, 70, 568 is 2

Given Input Data is 230, 468, 70, 568

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 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 568 is 2 x 2 x 2 x 71

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, 468) = 53820

GCD(230, 468) = ( 230 x 468 ) / 53820

GCD(230, 468) = 107640 / 53820

GCD(230, 468) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 230, 468, 70, 568 is 2

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1. What is the GCD of 230, 468, 70, 568?

GCD of 230, 468, 70, 568 is 2

2. Where do I get the detailed procedure to find GCD of 230, 468, 70, 568?

You can find a detailed procedure to find GCD of 230, 468, 70, 568 on our page.

3. How to find GCD of 230, 468, 70, 568 on a calculator?

You can find the GCD of 230, 468, 70, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.