GCD of 165, 414, 321 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 165, 414, 321 quickly. Get the easiest ways to solve the greatest common divisor of 165, 414, 321 i.e 3 in different methods as follows.
Given Input numbers are 165, 414, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (165, 414, 321) = 3.
Given numbers are 165, 414, 321
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 165, 414, 321 is 3.
Steps to Calculate GCD of 165, 414, 321 using LCM Formula
Given numbers are 165, 414, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 414) = 22770
GCD(165, 414) = ( 165 x 414 ) / 22770
= 165 / 414
= 165
Step2:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
So, Greatest Common Divisor of 165, 414, 321 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 165, 414, 321
Given numbers are 165, 414, 321
The greatest common divisor of numbers 165, 414, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 414, 321 is 3.
FAQs on GCD of 165, 414, 321 Calculator
1. What is the GCD of 165, 414, 321?
GCD of given numbers 165, 414, 321 is 3
2. How to calculate the greatest common divisor of 165, 414, 321?
We can find the highest common divisor of 165, 414, 321 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 165, 414, 321 i.e 3.
3. How can I use the GCD of 165, 414, 321Calculator?
Out the numbers 165, 414, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.