GCD of 414, 465, 120 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 414, 465, 120 quickly. Get the easiest ways to solve the greatest common divisor of 414, 465, 120 i.e 3 in different methods as follows.
Given Input numbers are 414, 465, 120
In the factoring method, we have to find the divisors of all numbers
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (414, 465, 120) = 3.
Given numbers are 414, 465, 120
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 465 are 3 x 5 x 31
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 414, 465, 120 is 3.
Steps to Calculate GCD of 414, 465, 120 using LCM Formula
Given numbers are 414, 465, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 465) = 64170
GCD(414, 465) = ( 414 x 465 ) / 64170
= 414 / 465
= 414
Step2:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
So, Greatest Common Divisor of 414, 465, 120 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 414, 465, 120
Given numbers are 414, 465, 120
The greatest common divisor of numbers 414, 465, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 465, 120 is 3.
FAQs on GCD of 414, 465, 120 Calculator
1. What is the GCD of 414, 465, 120?
GCD of given numbers 414, 465, 120 is 3
2. How to calculate the greatest common divisor of 414, 465, 120?
We can find the highest common divisor of 414, 465, 120 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 414, 465, 120 i.e 3.
3. How can I use the GCD of 414, 465, 120Calculator?
Out the numbers 414, 465, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.