GCD of 504, 348, 180 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 504, 348, 180 quickly. Get the easiest ways to solve the greatest common divisor of 504, 348, 180 i.e 12 in different methods as follows.
Given Input numbers are 504, 348, 180
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (504, 348, 180) = 12.
Given numbers are 504, 348, 180
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 348 are 2 x 2 x 3 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 504, 348, 180 is 12.
Steps to Calculate GCD of 504, 348, 180 using LCM Formula
Given numbers are 504, 348, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 348) = 14616
GCD(504, 348) = ( 504 x 348 ) / 14616
= 504 / 348
= 504
Step2:
LCM(12, 180) = 180
GCD(12, 180) = ( 12 x 180 ) / 180
= 12 / 180
= 12
So, Greatest Common Divisor of 504, 348, 180 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 504, 348, 180
Given numbers are 504, 348, 180
The greatest common divisor of numbers 504, 348, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 348, 180 is 12.
FAQs on GCD of 504, 348, 180 Calculator
1. What is the GCD of 504, 348, 180?
GCD of given numbers 504, 348, 180 is 12
2. How to calculate the greatest common divisor of 504, 348, 180?
We can find the highest common divisor of 504, 348, 180 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, 348, 180 i.e 12.
3. How can I use the GCD of 504, 348, 180Calculator?
Out the numbers 504, 348, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.