GCD of 180, 252, 624 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 252, 624 quickly. Get the easiest ways to solve the greatest common divisor of 180, 252, 624 i.e 12 in different methods as follows.
Given Input numbers are 180, 252, 624
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (180, 252, 624) = 12.
Given numbers are 180, 252, 624
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 180, 252, 624 is 12.
Steps to Calculate GCD of 180, 252, 624 using LCM Formula
Given numbers are 180, 252, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 252) = 1260
GCD(180, 252) = ( 180 x 252 ) / 1260
= 180 / 252
= 180
Step2:
LCM(36, 624) = 1872
GCD(36, 624) = ( 36 x 624 ) / 1872
= 36 / 624
= 36
So, Greatest Common Divisor of 180, 252, 624 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 252, 624
Given numbers are 180, 252, 624
The greatest common divisor of numbers 180, 252, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 252, 624 is 12.
FAQs on GCD of 180, 252, 624 Calculator
1. What is the GCD of 180, 252, 624?
GCD of given numbers 180, 252, 624 is 12
2. How to calculate the greatest common divisor of 180, 252, 624?
We can find the highest common divisor of 180, 252, 624 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 180, 252, 624 i.e 12.
3. How can I use the GCD of 180, 252, 624Calculator?
Out the numbers 180, 252, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.