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GCD of 369, 814, 363, 518 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 814, 363, 518 quickly. Get the easiest ways to solve the greatest common divisor of 369, 814, 363, 518 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 814, 363, 518 with Factoring?

Given Input numbers are 369, 814, 363, 518

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 518 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (369, 814, 363, 518) = 1.

Find GCD of 369, 814, 363, 518 using Prime Factorization

Given numbers are 369, 814, 363, 518

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 814 are 2 x 11 x 37

Prime factors of 363 are 3 x 11 x 11

Prime factors of 518 are 2 x 7 x 37

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

Steps to Calculate GCD of 369, 814, 363, 518 using LCM Formula

Given numbers are 369, 814, 363, 518

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

Apply this formula for all numbers.

Step1:

LCM(369, 814) = 300366

GCD(369, 814) = ( 369 x 814 ) / 300366

= 369 / 814

= 369


Step2:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1


Step3:

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

= 1 / 518

= 1


So, Greatest Common Divisor of 369, 814, 363, 518 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 814, 363, 518

Given numbers are 369, 814, 363, 518
The greatest common divisor of numbers 369, 814, 363, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 814, 363, 518 is 1.

FAQs on GCD of 369, 814, 363, 518 Calculator

1. What is the GCD of 369, 814, 363, 518?

GCD of given numbers 369, 814, 363, 518 is 1


2. How to calculate the greatest common divisor of 369, 814, 363, 518?

We can find the highest common divisor of 369, 814, 363, 518 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 369, 814, 363, 518 i.e 1.


3. How can I use the GCD of 369, 814, 363, 518Calculator?

Out the numbers 369, 814, 363, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.