GCD of 408, 144, 507 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 408, 144, 507 quickly. Get the easiest ways to solve the greatest common divisor of 408, 144, 507 i.e 3 in different methods as follows.
Given Input numbers are 408, 144, 507
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (408, 144, 507) = 3.
Given numbers are 408, 144, 507
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 507 are 3 x 13 x 13
The highest common occurrence is 31
Therefore, GCD of 408, 144, 507 is 3.
Steps to Calculate GCD of 408, 144, 507 using LCM Formula
Given numbers are 408, 144, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 144) = 2448
GCD(408, 144) = ( 408 x 144 ) / 2448
= 408 / 144
= 408
Step2:
LCM(24, 507) = 4056
GCD(24, 507) = ( 24 x 507 ) / 4056
= 24 / 507
= 24
So, Greatest Common Divisor of 408, 144, 507 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 408, 144, 507
Given numbers are 408, 144, 507
The greatest common divisor of numbers 408, 144, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 144, 507 is 3.
FAQs on GCD of 408, 144, 507 Calculator
1. What is the GCD of 408, 144, 507?
GCD of given numbers 408, 144, 507 is 3
2. How to calculate the greatest common divisor of 408, 144, 507?
We can find the highest common divisor of 408, 144, 507 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 408, 144, 507 i.e 3.
3. How can I use the GCD of 408, 144, 507Calculator?
Out the numbers 408, 144, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.