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 398, 436, 518, 830 Calculator

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


Online GCD Calculator is useful to find the GCD of 398, 436, 518, 830 quickly. Get the easiest ways to solve the greatest common divisor of 398, 436, 518, 830 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 436, 518, 830 with Factoring?

Given Input numbers are 398, 436, 518, 830

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830


GCD of numbers is the greatest common divisor

So, the GCD (398, 436, 518, 830) = 2.

Find GCD of 398, 436, 518, 830 using Prime Factorization

Given numbers are 398, 436, 518, 830

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 436 are 2 x 2 x 109

Prime factors of 518 are 2 x 7 x 37

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 21

Therefore, GCD of 398, 436, 518, 830 is 2.

Steps to Calculate GCD of 398, 436, 518, 830 using LCM Formula

Given numbers are 398, 436, 518, 830

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

Apply this formula for all numbers.

Step1:

LCM(398, 436) = 86764

GCD(398, 436) = ( 398 x 436 ) / 86764

= 398 / 436

= 398


Step2:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2


Step3:

LCM(2, 830) = 830

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

= 2 / 830

= 2


So, Greatest Common Divisor of 398, 436, 518, 830 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 436, 518, 830

Given numbers are 398, 436, 518, 830
The greatest common divisor of numbers 398, 436, 518, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 436, 518, 830 is 2.

FAQs on GCD of 398, 436, 518, 830 Calculator

1. What is the GCD of 398, 436, 518, 830?

GCD of given numbers 398, 436, 518, 830 is 2


2. How to calculate the greatest common divisor of 398, 436, 518, 830?

We can find the highest common divisor of 398, 436, 518, 830 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 398, 436, 518, 830 i.e 2.


3. How can I use the GCD of 398, 436, 518, 830Calculator?

Out the numbers 398, 436, 518, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.