GCD of 378, 612, 480 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 378, 612, 480 quickly. Get the easiest ways to solve the greatest common divisor of 378, 612, 480 i.e 6 in different methods as follows.
Given Input numbers are 378, 612, 480
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (378, 612, 480) = 6.
Given numbers are 378, 612, 480
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 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 378, 612, 480 is 6.
Steps to Calculate GCD of 378, 612, 480 using LCM Formula
Given numbers are 378, 612, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 612) = 12852
GCD(378, 612) = ( 378 x 612 ) / 12852
= 378 / 612
= 378
Step2:
LCM(18, 480) = 1440
GCD(18, 480) = ( 18 x 480 ) / 1440
= 18 / 480
= 18
So, Greatest Common Divisor of 378, 612, 480 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 378, 612, 480
Given numbers are 378, 612, 480
The greatest common divisor of numbers 378, 612, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 612, 480 is 6.
FAQs on GCD of 378, 612, 480 Calculator
1. What is the GCD of 378, 612, 480?
GCD of given numbers 378, 612, 480 is 6
2. How to calculate the greatest common divisor of 378, 612, 480?
We can find the highest common divisor of 378, 612, 480 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, 612, 480 i.e 6.
3. How can I use the GCD of 378, 612, 480Calculator?
Out the numbers 378, 612, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.