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 228, 217, 558, 561 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 217, 558, 561 quickly. Get the easiest ways to solve the greatest common divisor of 228, 217, 558, 561 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 217, 558, 561 with Factoring?

Given Input numbers are 228, 217, 558, 561

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561


GCD of numbers is the greatest common divisor

So, the GCD (228, 217, 558, 561) = 1.

Find GCD of 228, 217, 558, 561 using Prime Factorization

Given numbers are 228, 217, 558, 561

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 217 are 7 x 31

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

Prime factors of 561 are 3 x 11 x 17

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

Steps to Calculate GCD of 228, 217, 558, 561 using LCM Formula

Given numbers are 228, 217, 558, 561

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

Apply this formula for all numbers.

Step1:

LCM(228, 217) = 49476

GCD(228, 217) = ( 228 x 217 ) / 49476

= 228 / 217

= 228


Step2:

LCM(1, 558) = 558

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

= 1 / 558

= 1


Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1


So, Greatest Common Divisor of 228, 217, 558, 561 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 217, 558, 561

Given numbers are 228, 217, 558, 561
The greatest common divisor of numbers 228, 217, 558, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 217, 558, 561 is 1.

FAQs on GCD of 228, 217, 558, 561 Calculator

1. What is the GCD of 228, 217, 558, 561?

GCD of given numbers 228, 217, 558, 561 is 1


2. How to calculate the greatest common divisor of 228, 217, 558, 561?

We can find the highest common divisor of 228, 217, 558, 561 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 228, 217, 558, 561 i.e 1.


3. How can I use the GCD of 228, 217, 558, 561Calculator?

Out the numbers 228, 217, 558, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.