GCD of 618, 408, 189 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 618, 408, 189 quickly. Get the easiest ways to solve the greatest common divisor of 618, 408, 189 i.e 3 in different methods as follows.
Given Input numbers are 618, 408, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (618, 408, 189) = 3.
Given numbers are 618, 408, 189
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 618, 408, 189 is 3.
Steps to Calculate GCD of 618, 408, 189 using LCM Formula
Given numbers are 618, 408, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 408) = 42024
GCD(618, 408) = ( 618 x 408 ) / 42024
= 618 / 408
= 618
Step2:
LCM(6, 189) = 378
GCD(6, 189) = ( 6 x 189 ) / 378
= 6 / 189
= 6
So, Greatest Common Divisor of 618, 408, 189 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 618, 408, 189
Given numbers are 618, 408, 189
The greatest common divisor of numbers 618, 408, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 408, 189 is 3.
FAQs on GCD of 618, 408, 189 Calculator
1. What is the GCD of 618, 408, 189?
GCD of given numbers 618, 408, 189 is 3
2. How to calculate the greatest common divisor of 618, 408, 189?
We can find the highest common divisor of 618, 408, 189 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 618, 408, 189 i.e 3.
3. How can I use the GCD of 618, 408, 189Calculator?
Out the numbers 618, 408, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.