GCD of 324, 696, 878 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 324, 696, 878 quickly. Get the easiest ways to solve the greatest common divisor of 324, 696, 878 i.e 2 in different methods as follows.
Given Input numbers are 324, 696, 878
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
GCD of numbers is the greatest common divisor
So, the GCD (324, 696, 878) = 2.
Given numbers are 324, 696, 878
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 878 are 2 x 439
The highest common occurrence is 21
Therefore, GCD of 324, 696, 878 is 2.
Steps to Calculate GCD of 324, 696, 878 using LCM Formula
Given numbers are 324, 696, 878
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 696) = 18792
GCD(324, 696) = ( 324 x 696 ) / 18792
= 324 / 696
= 324
Step2:
LCM(12, 878) = 5268
GCD(12, 878) = ( 12 x 878 ) / 5268
= 12 / 878
= 12
So, Greatest Common Divisor of 324, 696, 878 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 324, 696, 878
Given numbers are 324, 696, 878
The greatest common divisor of numbers 324, 696, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 696, 878 is 2.
FAQs on GCD of 324, 696, 878 Calculator
1. What is the GCD of 324, 696, 878?
GCD of given numbers 324, 696, 878 is 2
2. How to calculate the greatest common divisor of 324, 696, 878?
We can find the highest common divisor of 324, 696, 878 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 324, 696, 878 i.e 2.
3. How can I use the GCD of 324, 696, 878Calculator?
Out the numbers 324, 696, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.