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GCD of 438, 221, 318, 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 438, 221, 318, 558 quickly. Get the easiest ways to solve the greatest common divisor of 438, 221, 318, 558 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 221, 318, 558 with Factoring?

Given Input numbers are 438, 221, 318, 558

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 (438, 221, 318, 558) = 1.

Find GCD of 438, 221, 318, 558 using Prime Factorization

Given numbers are 438, 221, 318, 558

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 221 are 13 x 17

Prime factors of 318 are 2 x 3 x 53

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 438, 221, 318, 558 using LCM Formula

Given numbers are 438, 221, 318, 558

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

Apply this formula for all numbers.

Step1:

LCM(438, 221) = 96798

GCD(438, 221) = ( 438 x 221 ) / 96798

= 438 / 221

= 438


Step2:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1


Step3:

LCM(1, 558) = 558

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

= 1 / 558

= 1


So, Greatest Common Divisor of 438, 221, 318, 558 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 221, 318, 558

Given numbers are 438, 221, 318, 558
The greatest common divisor of numbers 438, 221, 318, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 221, 318, 558 is 1.

FAQs on GCD of 438, 221, 318, 558 Calculator

1. What is the GCD of 438, 221, 318, 558?

GCD of given numbers 438, 221, 318, 558 is 1


2. How to calculate the greatest common divisor of 438, 221, 318, 558?

We can find the highest common divisor of 438, 221, 318, 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 438, 221, 318, 558 i.e 1.


3. How can I use the GCD of 438, 221, 318, 558Calculator?

Out the numbers 438, 221, 318, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.