GCD of 828, 924, 504 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 924, 504 quickly. Get the easiest ways to solve the greatest common divisor of 828, 924, 504 i.e 12 in different methods as follows.
Given Input numbers are 828, 924, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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
GCD of numbers is the greatest common divisor
So, the GCD (828, 924, 504) = 12.
Given numbers are 828, 924, 504
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22 x 31
Therefore, GCD of 828, 924, 504 is 12.
Steps to Calculate GCD of 828, 924, 504 using LCM Formula
Given numbers are 828, 924, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 924) = 63756
GCD(828, 924) = ( 828 x 924 ) / 63756
= 828 / 924
= 828
Step2:
LCM(12, 504) = 504
GCD(12, 504) = ( 12 x 504 ) / 504
= 12 / 504
= 12
So, Greatest Common Divisor of 828, 924, 504 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 828, 924, 504
Given numbers are 828, 924, 504
The greatest common divisor of numbers 828, 924, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 924, 504 is 12.
FAQs on GCD of 828, 924, 504 Calculator
1. What is the GCD of 828, 924, 504?
GCD of given numbers 828, 924, 504 is 12
2. How to calculate the greatest common divisor of 828, 924, 504?
We can find the highest common divisor of 828, 924, 504 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 828, 924, 504 i.e 12.
3. How can I use the GCD of 828, 924, 504Calculator?
Out the numbers 828, 924, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.