GCD of 234, 414, 369 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 234, 414, 369 quickly. Get the easiest ways to solve the greatest common divisor of 234, 414, 369 i.e 9 in different methods as follows.
Given Input numbers are 234, 414, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (234, 414, 369) = 9.
Given numbers are 234, 414, 369
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 32
Therefore, GCD of 234, 414, 369 is 9.
Steps to Calculate GCD of 234, 414, 369 using LCM Formula
Given numbers are 234, 414, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 414) = 5382
GCD(234, 414) = ( 234 x 414 ) / 5382
= 234 / 414
= 234
Step2:
LCM(18, 369) = 738
GCD(18, 369) = ( 18 x 369 ) / 738
= 18 / 369
= 18
So, Greatest Common Divisor of 234, 414, 369 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 234, 414, 369
Given numbers are 234, 414, 369
The greatest common divisor of numbers 234, 414, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 414, 369 is 9.
FAQs on GCD of 234, 414, 369 Calculator
1. What is the GCD of 234, 414, 369?
GCD of given numbers 234, 414, 369 is 9
2. How to calculate the greatest common divisor of 234, 414, 369?
We can find the highest common divisor of 234, 414, 369 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 234, 414, 369 i.e 9.
3. How can I use the GCD of 234, 414, 369Calculator?
Out the numbers 234, 414, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.