GCD of 345, 114, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 114, 240 quickly. Get the easiest ways to solve the greatest common divisor of 345, 114, 240 i.e 3 in different methods as follows.
Given Input numbers are 345, 114, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (345, 114, 240) = 3.
Given numbers are 345, 114, 240
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 114 are 2 x 3 x 19
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 345, 114, 240 is 3.
Steps to Calculate GCD of 345, 114, 240 using LCM Formula
Given numbers are 345, 114, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 114) = 13110
GCD(345, 114) = ( 345 x 114 ) / 13110
= 345 / 114
= 345
Step2:
LCM(3, 240) = 240
GCD(3, 240) = ( 3 x 240 ) / 240
= 3 / 240
= 3
So, Greatest Common Divisor of 345, 114, 240 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 345, 114, 240
Given numbers are 345, 114, 240
The greatest common divisor of numbers 345, 114, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 114, 240 is 3.
FAQs on GCD of 345, 114, 240 Calculator
1. What is the GCD of 345, 114, 240?
GCD of given numbers 345, 114, 240 is 3
2. How to calculate the greatest common divisor of 345, 114, 240?
We can find the highest common divisor of 345, 114, 240 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 345, 114, 240 i.e 3.
3. How can I use the GCD of 345, 114, 240Calculator?
Out the numbers 345, 114, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.