GCD of 270, 744, 198 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 270, 744, 198 quickly. Get the easiest ways to solve the greatest common divisor of 270, 744, 198 i.e 6 in different methods as follows.
Given Input numbers are 270, 744, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
GCD of numbers is the greatest common divisor
So, the GCD (270, 744, 198) = 6.
Given numbers are 270, 744, 198
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 270, 744, 198 is 6.
Steps to Calculate GCD of 270, 744, 198 using LCM Formula
Given numbers are 270, 744, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 744) = 33480
GCD(270, 744) = ( 270 x 744 ) / 33480
= 270 / 744
= 270
Step2:
LCM(6, 198) = 198
GCD(6, 198) = ( 6 x 198 ) / 198
= 6 / 198
= 6
So, Greatest Common Divisor of 270, 744, 198 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 270, 744, 198
Given numbers are 270, 744, 198
The greatest common divisor of numbers 270, 744, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 744, 198 is 6.
FAQs on GCD of 270, 744, 198 Calculator
1. What is the GCD of 270, 744, 198?
GCD of given numbers 270, 744, 198 is 6
2. How to calculate the greatest common divisor of 270, 744, 198?
We can find the highest common divisor of 270, 744, 198 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 270, 744, 198 i.e 6.
3. How can I use the GCD of 270, 744, 198Calculator?
Out the numbers 270, 744, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.