GCD of 312, 588, 804 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 312, 588, 804 quickly. Get the easiest ways to solve the greatest common divisor of 312, 588, 804 i.e 12 in different methods as follows.
Given Input numbers are 312, 588, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (312, 588, 804) = 12.
Given numbers are 312, 588, 804
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 22 x 31
Therefore, GCD of 312, 588, 804 is 12.
Steps to Calculate GCD of 312, 588, 804 using LCM Formula
Given numbers are 312, 588, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 588) = 15288
GCD(312, 588) = ( 312 x 588 ) / 15288
= 312 / 588
= 312
Step2:
LCM(12, 804) = 804
GCD(12, 804) = ( 12 x 804 ) / 804
= 12 / 804
= 12
So, Greatest Common Divisor of 312, 588, 804 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 312, 588, 804
Given numbers are 312, 588, 804
The greatest common divisor of numbers 312, 588, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 588, 804 is 12.
FAQs on GCD of 312, 588, 804 Calculator
1. What is the GCD of 312, 588, 804?
GCD of given numbers 312, 588, 804 is 12
2. How to calculate the greatest common divisor of 312, 588, 804?
We can find the highest common divisor of 312, 588, 804 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 312, 588, 804 i.e 12.
3. How can I use the GCD of 312, 588, 804Calculator?
Out the numbers 312, 588, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.