GCD of 558, 159, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 558, 159, 21 quickly. Get the easiest ways to solve the greatest common divisor of 558, 159, 21 i.e 3 in different methods as follows.
Given Input numbers are 558, 159, 21
In the factoring method, we have to find the divisors of all numbers
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (558, 159, 21) = 3.
Given numbers are 558, 159, 21
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 159 are 3 x 53
Prime factors of 21 are 3 x 7
The highest common occurrence is 31
Therefore, GCD of 558, 159, 21 is 3.
Steps to Calculate GCD of 558, 159, 21 using LCM Formula
Given numbers are 558, 159, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 159) = 29574
GCD(558, 159) = ( 558 x 159 ) / 29574
= 558 / 159
= 558
Step2:
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
= 3 / 21
= 3
So, Greatest Common Divisor of 558, 159, 21 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 558, 159, 21
Given numbers are 558, 159, 21
The greatest common divisor of numbers 558, 159, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 159, 21 is 3.
FAQs on GCD of 558, 159, 21 Calculator
1. What is the GCD of 558, 159, 21?
GCD of given numbers 558, 159, 21 is 3
2. How to calculate the greatest common divisor of 558, 159, 21?
We can find the highest common divisor of 558, 159, 21 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 558, 159, 21 i.e 3.
3. How can I use the GCD of 558, 159, 21Calculator?
Out the numbers 558, 159, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.