Where do I get the detailed procedure to find GCD of 998, 100, 521?

You can find a detailed procedure to find GCD of 998, 100, 521 on our page.

How to find GCD of 998, 100, 521 on a calculator?

You can find the GCD of 998, 100, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 998, 100, 521 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 998, 100, 521 quickly. Get the easiest ways to solve the greatest common divisor of 998, 100, 521 i.e 1 in different methods as follows.

How to Find GCD of Numbers 998, 100, 521 with Factoring?

Given Input numbers are 998, 100, 521

In the factoring method, we have to find the divisors of all numbers

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (998, 100, 521) = 1.

Find GCD of 998, 100, 521 using Prime Factorization

Given numbers are 998, 100, 521

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 521 are 521

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 998, 100, 521 using LCM Formula

Given numbers are 998, 100, 521

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(998, 100) = 49900

GCD(998, 100) = ( 998 x 100 ) / 49900

= 998 / 100

= 998

Step2:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

So, Greatest Common Divisor of 998, 100, 521 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 998, 100, 521

Given numbers are 998, 100, 521
The greatest common divisor of numbers 998, 100, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 100, 521 is 1.

FAQs on GCD of 998, 100, 521 Calculator

1. What is the GCD of 998, 100, 521?

GCD of given numbers 998, 100, 521 is 1

2. How to calculate the greatest common divisor of 998, 100, 521?

We can find the highest common divisor of 998, 100, 521 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 998, 100, 521 i.e 1.

3. How can I use the GCD of 998, 100, 521Calculator?

Out the numbers 998, 100, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.