GCD of 680, 122, 228 Calculator

Given Input numbers are 680, 122, 228

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 680, 122, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 122, 228 is 2.

Therefore, GCD of numbers 680, 122, 228 is 2

Given Input Data is 680, 122, 228

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 122 is 2 x 61

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(680, 122) = 41480

GCD(680, 122) = ( 680 x 122 ) / 41480

GCD(680, 122) = 82960 / 41480

GCD(680, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 680, 122, 228 is 2

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1. What is the GCD of 680, 122, 228?

GCD of 680, 122, 228 is 2

2. Where do I get the detailed procedure to find GCD of 680, 122, 228?

You can find a detailed procedure to find GCD of 680, 122, 228 on our page.

3. How to find GCD of 680, 122, 228 on a calculator?

You can find the GCD of 680, 122, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.