GCD of 404, 998, 98, 725 Calculator

Given Input numbers are 404, 998, 98, 725

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 998

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

1, 2, 499, 998

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 404, 998, 98, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 998, 98, 725 is 1.

Therefore, GCD of numbers 404, 998, 98, 725 is 1

Given Input Data is 404, 998, 98, 725

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 998 is 2 x 499

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 725 is 5 x 5 x 29

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(404, 998) = 201596

GCD(404, 998) = ( 404 x 998 ) / 201596

GCD(404, 998) = 403192 / 201596

GCD(404, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 404, 998, 98, 725 is 1

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• GCD of 825, 491, 22, 515
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1. What is the GCD of 404, 998, 98, 725?

GCD of 404, 998, 98, 725 is 1

2. Where do I get the detailed procedure to find GCD of 404, 998, 98, 725?

You can find a detailed procedure to find GCD of 404, 998, 98, 725 on our page.

3. How to find GCD of 404, 998, 98, 725 on a calculator?

You can find the GCD of 404, 998, 98, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.