GCD of 318, 360, 63 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 318, 360, 63 quickly. Get the easiest ways to solve the greatest common divisor of 318, 360, 63 i.e 3 in different methods as follows.
Given Input numbers are 318, 360, 63
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
GCD of numbers is the greatest common divisor
So, the GCD (318, 360, 63) = 3.
Given numbers are 318, 360, 63
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 63 are 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 318, 360, 63 is 3.
Steps to Calculate GCD of 318, 360, 63 using LCM Formula
Given numbers are 318, 360, 63
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 360) = 19080
GCD(318, 360) = ( 318 x 360 ) / 19080
= 318 / 360
= 318
Step2:
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
= 6 / 63
= 6
So, Greatest Common Divisor of 318, 360, 63 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 318, 360, 63
Given numbers are 318, 360, 63
The greatest common divisor of numbers 318, 360, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 360, 63 is 3.
FAQs on GCD of 318, 360, 63 Calculator
1. What is the GCD of 318, 360, 63?
GCD of given numbers 318, 360, 63 is 3
2. How to calculate the greatest common divisor of 318, 360, 63?
We can find the highest common divisor of 318, 360, 63 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 318, 360, 63 i.e 3.
3. How can I use the GCD of 318, 360, 63Calculator?
Out the numbers 318, 360, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.