GCD of 504, 630, 144 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 504, 630, 144 quickly. Get the easiest ways to solve the greatest common divisor of 504, 630, 144 i.e 18 in different methods as follows.
Given Input numbers are 504, 630, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (504, 630, 144) = 18.
Given numbers are 504, 630, 144
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21 x 32
Therefore, GCD of 504, 630, 144 is 18.
Steps to Calculate GCD of 504, 630, 144 using LCM Formula
Given numbers are 504, 630, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 630) = 2520
GCD(504, 630) = ( 504 x 630 ) / 2520
= 504 / 630
= 504
Step2:
LCM(126, 144) = 1008
GCD(126, 144) = ( 126 x 144 ) / 1008
= 126 / 144
= 126
So, Greatest Common Divisor of 504, 630, 144 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 504, 630, 144
Given numbers are 504, 630, 144
The greatest common divisor of numbers 504, 630, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 630, 144 is 18.
FAQs on GCD of 504, 630, 144 Calculator
1. What is the GCD of 504, 630, 144?
GCD of given numbers 504, 630, 144 is 18
2. How to calculate the greatest common divisor of 504, 630, 144?
We can find the highest common divisor of 504, 630, 144 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 504, 630, 144 i.e 18.
3. How can I use the GCD of 504, 630, 144Calculator?
Out the numbers 504, 630, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.