GCD of 189, 474, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 474, 138 quickly. Get the easiest ways to solve the greatest common divisor of 189, 474, 138 i.e 3 in different methods as follows.
Given Input numbers are 189, 474, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (189, 474, 138) = 3.
Given numbers are 189, 474, 138
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 474 are 2 x 3 x 79
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 189, 474, 138 is 3.
Steps to Calculate GCD of 189, 474, 138 using LCM Formula
Given numbers are 189, 474, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 474) = 29862
GCD(189, 474) = ( 189 x 474 ) / 29862
= 189 / 474
= 189
Step2:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
So, Greatest Common Divisor of 189, 474, 138 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 474, 138
Given numbers are 189, 474, 138
The greatest common divisor of numbers 189, 474, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 474, 138 is 3.
FAQs on GCD of 189, 474, 138 Calculator
1. What is the GCD of 189, 474, 138?
GCD of given numbers 189, 474, 138 is 3
2. How to calculate the greatest common divisor of 189, 474, 138?
We can find the highest common divisor of 189, 474, 138 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 189, 474, 138 i.e 3.
3. How can I use the GCD of 189, 474, 138Calculator?
Out the numbers 189, 474, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.