GCD of 780, 144, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 780, 144, 825 quickly. Get the easiest ways to solve the greatest common divisor of 780, 144, 825 i.e 3 in different methods as follows.
Given Input numbers are 780, 144, 825
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (780, 144, 825) = 3.
Given numbers are 780, 144, 825
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 780, 144, 825 is 3.
Steps to Calculate GCD of 780, 144, 825 using LCM Formula
Given numbers are 780, 144, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 144) = 9360
GCD(780, 144) = ( 780 x 144 ) / 9360
= 780 / 144
= 780
Step2:
LCM(12, 825) = 3300
GCD(12, 825) = ( 12 x 825 ) / 3300
= 12 / 825
= 12
So, Greatest Common Divisor of 780, 144, 825 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 780, 144, 825
Given numbers are 780, 144, 825
The greatest common divisor of numbers 780, 144, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 144, 825 is 3.
FAQs on GCD of 780, 144, 825 Calculator
1. What is the GCD of 780, 144, 825?
GCD of given numbers 780, 144, 825 is 3
2. How to calculate the greatest common divisor of 780, 144, 825?
We can find the highest common divisor of 780, 144, 825 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 780, 144, 825 i.e 3.
3. How can I use the GCD of 780, 144, 825Calculator?
Out the numbers 780, 144, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.