GCD of 123, 230, 196, 418 Calculator

Given Input numbers are 123, 230, 196, 418

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 123, 230, 196, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 230, 196, 418 is 1.

Therefore, GCD of numbers 123, 230, 196, 418 is 1

Given Input Data is 123, 230, 196, 418

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 418 is 2 x 11 x 19

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(123, 230) = 28290

GCD(123, 230) = ( 123 x 230 ) / 28290

GCD(123, 230) = 28290 / 28290

GCD(123, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 123, 230, 196, 418 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 319, 818, 103
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• GCD of 602, 337, 416, 606
• GCD of 317, 760, 729, 812
• GCD of 157, 531, 310, 791

1. What is the GCD of 123, 230, 196, 418?

GCD of 123, 230, 196, 418 is 1

2. Where do I get the detailed procedure to find GCD of 123, 230, 196, 418?

You can find a detailed procedure to find GCD of 123, 230, 196, 418 on our page.

3. How to find GCD of 123, 230, 196, 418 on a calculator?

You can find the GCD of 123, 230, 196, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.