GCD of 144, 345, 315 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 144, 345, 315 quickly. Get the easiest ways to solve the greatest common divisor of 144, 345, 315 i.e 3 in different methods as follows.
Given Input numbers are 144, 345, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (144, 345, 315) = 3.
Given numbers are 144, 345, 315
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 345 are 3 x 5 x 23
Prime factors of 315 are 3 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 144, 345, 315 is 3.
Steps to Calculate GCD of 144, 345, 315 using LCM Formula
Given numbers are 144, 345, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 345) = 16560
GCD(144, 345) = ( 144 x 345 ) / 16560
= 144 / 345
= 144
Step2:
LCM(3, 315) = 315
GCD(3, 315) = ( 3 x 315 ) / 315
= 3 / 315
= 3
So, Greatest Common Divisor of 144, 345, 315 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 144, 345, 315
Given numbers are 144, 345, 315
The greatest common divisor of numbers 144, 345, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 345, 315 is 3.
FAQs on GCD of 144, 345, 315 Calculator
1. What is the GCD of 144, 345, 315?
GCD of given numbers 144, 345, 315 is 3
2. How to calculate the greatest common divisor of 144, 345, 315?
We can find the highest common divisor of 144, 345, 315 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 144, 345, 315 i.e 3.
3. How can I use the GCD of 144, 345, 315Calculator?
Out the numbers 144, 345, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.