GCD of 378, 465, 306 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 378, 465, 306 quickly. Get the easiest ways to solve the greatest common divisor of 378, 465, 306 i.e 3 in different methods as follows.
Given Input numbers are 378, 465, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (378, 465, 306) = 3.
Given numbers are 378, 465, 306
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 465 are 3 x 5 x 31
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 378, 465, 306 is 3.
Steps to Calculate GCD of 378, 465, 306 using LCM Formula
Given numbers are 378, 465, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 465) = 58590
GCD(378, 465) = ( 378 x 465 ) / 58590
= 378 / 465
= 378
Step2:
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
= 3 / 306
= 3
So, Greatest Common Divisor of 378, 465, 306 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 378, 465, 306
Given numbers are 378, 465, 306
The greatest common divisor of numbers 378, 465, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 465, 306 is 3.
FAQs on GCD of 378, 465, 306 Calculator
1. What is the GCD of 378, 465, 306?
GCD of given numbers 378, 465, 306 is 3
2. How to calculate the greatest common divisor of 378, 465, 306?
We can find the highest common divisor of 378, 465, 306 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 378, 465, 306 i.e 3.
3. How can I use the GCD of 378, 465, 306Calculator?
Out the numbers 378, 465, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.