LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 413, 423, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 413, 423, 998 quickly. Get the easiest ways to solve the greatest common divisor of 413, 423, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 413, 423, 998 with Factoring?

Given Input numbers are 413, 423, 998

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

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 998 :

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

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (413, 423, 998) = 1.

Find GCD of 413, 423, 998 using Prime Factorization

Given numbers are 413, 423, 998

The list of prime factors of all numbers are

Prime factors of 413 are 7 x 59

Prime factors of 423 are 3 x 3 x 47

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 413, 423, 998 using LCM Formula

Given numbers are 413, 423, 998

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

Apply this formula for all numbers.

Step1:

LCM(413, 423) = 174699

GCD(413, 423) = ( 413 x 423 ) / 174699

= 413 / 423

= 413


Step2:

LCM(1, 998) = 998

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

= 1 / 998

= 1


So, Greatest Common Divisor of 413, 423, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 413, 423, 998

Given numbers are 413, 423, 998
The greatest common divisor of numbers 413, 423, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 423, 998 is 1.

FAQs on GCD of 413, 423, 998 Calculator

1. What is the GCD of 413, 423, 998?

GCD of given numbers 413, 423, 998 is 1


2. How to calculate the greatest common divisor of 413, 423, 998?

We can find the highest common divisor of 413, 423, 998 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 413, 423, 998 i.e 1.


3. How can I use the GCD of 413, 423, 998Calculator?

Out the numbers 413, 423, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.