GCD of 684, 770, 230 Calculator

Given Input numbers are 684, 770, 230

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 230

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

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

Greatest Common Divisior

We found the divisors of 684, 770, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 770, 230 is 2.

Therefore, GCD of numbers 684, 770, 230 is 2

Given Input Data is 684, 770, 230

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 230 is 2 x 5 x 23

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(684, 770) = 263340

GCD(684, 770) = ( 684 x 770 ) / 263340

GCD(684, 770) = 526680 / 263340

GCD(684, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

GCD of 684, 770, 230 is 2

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1. What is the GCD of 684, 770, 230?

GCD of 684, 770, 230 is 2

2. Where do I get the detailed procedure to find GCD of 684, 770, 230?

You can find a detailed procedure to find GCD of 684, 770, 230 on our page.

3. How to find GCD of 684, 770, 230 on a calculator?

You can find the GCD of 684, 770, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.