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GCD of 369, 116, 558 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, 116, 558 quickly. Get the easiest ways to solve the greatest common divisor of 369, 116, 558 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 116, 558 with Factoring?

Given Input numbers are 369, 116, 558

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558


GCD of numbers is the greatest common divisor

So, the GCD (369, 116, 558) = 1.

Find GCD of 369, 116, 558 using Prime Factorization

Given numbers are 369, 116, 558

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 116 are 2 x 2 x 29

Prime factors of 558 are 2 x 3 x 3 x 31

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

Steps to Calculate GCD of 369, 116, 558 using LCM Formula

Given numbers are 369, 116, 558

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

Apply this formula for all numbers.

Step1:

LCM(369, 116) = 42804

GCD(369, 116) = ( 369 x 116 ) / 42804

= 369 / 116

= 369


Step2:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1


So, Greatest Common Divisor of 369, 116, 558 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 116, 558

Given numbers are 369, 116, 558
The greatest common divisor of numbers 369, 116, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 116, 558 is 1.

FAQs on GCD of 369, 116, 558 Calculator

1. What is the GCD of 369, 116, 558?

GCD of given numbers 369, 116, 558 is 1


2. How to calculate the greatest common divisor of 369, 116, 558?

We can find the highest common divisor of 369, 116, 558 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, 116, 558 i.e 1.


3. How can I use the GCD of 369, 116, 558Calculator?

Out the numbers 369, 116, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.