GCD of 828, 724, 904 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 724, 904 quickly. Get the easiest ways to solve the greatest common divisor of 828, 724, 904 i.e 4 in different methods as follows.
Given Input numbers are 828, 724, 904
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (828, 724, 904) = 4.
Given numbers are 828, 724, 904
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 724 are 2 x 2 x 181
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 22
Therefore, GCD of 828, 724, 904 is 4.
Steps to Calculate GCD of 828, 724, 904 using LCM Formula
Given numbers are 828, 724, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 724) = 149868
GCD(828, 724) = ( 828 x 724 ) / 149868
= 828 / 724
= 828
Step2:
LCM(4, 904) = 904
GCD(4, 904) = ( 4 x 904 ) / 904
= 4 / 904
= 4
So, Greatest Common Divisor of 828, 724, 904 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 828, 724, 904
Given numbers are 828, 724, 904
The greatest common divisor of numbers 828, 724, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 724, 904 is 4.
FAQs on GCD of 828, 724, 904 Calculator
1. What is the GCD of 828, 724, 904?
GCD of given numbers 828, 724, 904 is 4
2. How to calculate the greatest common divisor of 828, 724, 904?
We can find the highest common divisor of 828, 724, 904 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, 724, 904 i.e 4.
3. How can I use the GCD of 828, 724, 904Calculator?
Out the numbers 828, 724, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.