GCD of 198, 714, 898, 415 Calculator

Given Input numbers are 198, 714, 898, 415

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 198, 714, 898, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 714, 898, 415 is 1.

Therefore, GCD of numbers 198, 714, 898, 415 is 1

Given Input Data is 198, 714, 898, 415

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 898 is 2 x 449

Prime Factorization of 415 is 5 x 83

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(198, 714) = 23562

GCD(198, 714) = ( 198 x 714 ) / 23562

GCD(198, 714) = 141372 / 23562

GCD(198, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 898

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

LCM(6, 898) = 2694

GCD(6, 898) = ( 6 x 898 ) / 2694

GCD(6, 898) = 5388 / 2694

GCD(6, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 415

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

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

GCD(2, 415) = 830 / 830

GCD(2, 415) = 1

GCD of 198, 714, 898, 415 is 1

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1. What is the GCD of 198, 714, 898, 415?

GCD of 198, 714, 898, 415 is 1

2. Where do I get the detailed procedure to find GCD of 198, 714, 898, 415?

You can find a detailed procedure to find GCD of 198, 714, 898, 415 on our page.

3. How to find GCD of 198, 714, 898, 415 on a calculator?

You can find the GCD of 198, 714, 898, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.