GCD of 198, 138, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 198, 138, 21 quickly. Get the easiest ways to solve the greatest common divisor of 198, 138, 21 i.e 3 in different methods as follows.
Given Input numbers are 198, 138, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 (198, 138, 21) = 3.
Given numbers are 198, 138, 21
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 21 are 3 x 7
The highest common occurrence is 31
Therefore, GCD of 198, 138, 21 is 3.
Steps to Calculate GCD of 198, 138, 21 using LCM Formula
Given numbers are 198, 138, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 138) = 4554
GCD(198, 138) = ( 198 x 138 ) / 4554
= 198 / 138
= 198
Step2:
LCM(6, 21) = 42
GCD(6, 21) = ( 6 x 21 ) / 42
= 6 / 21
= 6
So, Greatest Common Divisor of 198, 138, 21 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 198, 138, 21
Given numbers are 198, 138, 21
The greatest common divisor of numbers 198, 138, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 138, 21 is 3.
FAQs on GCD of 198, 138, 21 Calculator
1. What is the GCD of 198, 138, 21?
GCD of given numbers 198, 138, 21 is 3
2. How to calculate the greatest common divisor of 198, 138, 21?
We can find the highest common divisor of 198, 138, 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 198, 138, 21 i.e 3.
3. How can I use the GCD of 198, 138, 21Calculator?
Out the numbers 198, 138, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.