GCD of 408, 828, 780 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 408, 828, 780 quickly. Get the easiest ways to solve the greatest common divisor of 408, 828, 780 i.e 12 in different methods as follows.
Given Input numbers are 408, 828, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (408, 828, 780) = 12.
Given numbers are 408, 828, 780
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 408, 828, 780 is 12.
Steps to Calculate GCD of 408, 828, 780 using LCM Formula
Given numbers are 408, 828, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 828) = 28152
GCD(408, 828) = ( 408 x 828 ) / 28152
= 408 / 828
= 408
Step2:
LCM(12, 780) = 780
GCD(12, 780) = ( 12 x 780 ) / 780
= 12 / 780
= 12
So, Greatest Common Divisor of 408, 828, 780 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 408, 828, 780
Given numbers are 408, 828, 780
The greatest common divisor of numbers 408, 828, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 828, 780 is 12.
FAQs on GCD of 408, 828, 780 Calculator
1. What is the GCD of 408, 828, 780?
GCD of given numbers 408, 828, 780 is 12
2. How to calculate the greatest common divisor of 408, 828, 780?
We can find the highest common divisor of 408, 828, 780 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 408, 828, 780 i.e 12.
3. How can I use the GCD of 408, 828, 780Calculator?
Out the numbers 408, 828, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.