GCD of 468, 117, 345 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 117, 345 quickly. Get the easiest ways to solve the greatest common divisor of 468, 117, 345 i.e 3 in different methods as follows.
Given Input numbers are 468, 117, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (468, 117, 345) = 3.
Given numbers are 468, 117, 345
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 117 are 3 x 3 x 13
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 468, 117, 345 is 3.
Steps to Calculate GCD of 468, 117, 345 using LCM Formula
Given numbers are 468, 117, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 117) = 468
GCD(468, 117) = ( 468 x 117 ) / 468
= 468 / 117
= 468
Step2:
LCM(117, 345) = 13455
GCD(117, 345) = ( 117 x 345 ) / 13455
= 117 / 345
= 117
So, Greatest Common Divisor of 468, 117, 345 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 117, 345
Given numbers are 468, 117, 345
The greatest common divisor of numbers 468, 117, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 117, 345 is 3.
FAQs on GCD of 468, 117, 345 Calculator
1. What is the GCD of 468, 117, 345?
GCD of given numbers 468, 117, 345 is 3
2. How to calculate the greatest common divisor of 468, 117, 345?
We can find the highest common divisor of 468, 117, 345 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 468, 117, 345 i.e 3.
3. How can I use the GCD of 468, 117, 345Calculator?
Out the numbers 468, 117, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.