GCD of 398, 698, 835, 123 Calculator

Given Input numbers are 398, 698, 835, 123

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 398, 698, 835, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 698, 835, 123 is 1.

Therefore, GCD of numbers 398, 698, 835, 123 is 1

Given Input Data is 398, 698, 835, 123

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 698 is 2 x 349

Prime Factorization of 835 is 5 x 167

Prime Factorization of 123 is 3 x 41

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(398, 698) = 138902

GCD(398, 698) = ( 398 x 698 ) / 138902

GCD(398, 698) = 277804 / 138902

GCD(398, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 398, 698, 835, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 245, 386, 700
• GCD of 600, 186, 503, 705
• GCD of 909, 188, 249, 882
• GCD of 350, 528, 311, 259
• GCD of 362, 121, 232, 446

1. What is the GCD of 398, 698, 835, 123?

GCD of 398, 698, 835, 123 is 1

2. Where do I get the detailed procedure to find GCD of 398, 698, 835, 123?

You can find a detailed procedure to find GCD of 398, 698, 835, 123 on our page.

3. How to find GCD of 398, 698, 835, 123 on a calculator?

You can find the GCD of 398, 698, 835, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.