GCD of 898, 238, 435, 998 Calculator

Given Input numbers are 898, 238, 435, 998

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

Divisors of 898

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

1, 2, 449, 898

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 898, 238, 435, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 238, 435, 998 is 1.

Therefore, GCD of numbers 898, 238, 435, 998 is 1

Given Input Data is 898, 238, 435, 998

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 998 is 2 x 499

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(898, 238) = 106862

GCD(898, 238) = ( 898 x 238 ) / 106862

GCD(898, 238) = 213724 / 106862

GCD(898, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 898, 238, 435, 998 is 1

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1. What is the GCD of 898, 238, 435, 998?

GCD of 898, 238, 435, 998 is 1

2. Where do I get the detailed procedure to find GCD of 898, 238, 435, 998?

You can find a detailed procedure to find GCD of 898, 238, 435, 998 on our page.

3. How to find GCD of 898, 238, 435, 998 on a calculator?

You can find the GCD of 898, 238, 435, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.