GCD of 300, 825, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 300, 825, 684 quickly. Get the easiest ways to solve the greatest common divisor of 300, 825, 684 i.e 3 in different methods as follows.
Given Input numbers are 300, 825, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (300, 825, 684) = 3.
Given numbers are 300, 825, 684
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 300, 825, 684 is 3.
Steps to Calculate GCD of 300, 825, 684 using LCM Formula
Given numbers are 300, 825, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 825) = 3300
GCD(300, 825) = ( 300 x 825 ) / 3300
= 300 / 825
= 300
Step2:
LCM(75, 684) = 17100
GCD(75, 684) = ( 75 x 684 ) / 17100
= 75 / 684
= 75
So, Greatest Common Divisor of 300, 825, 684 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 300, 825, 684
Given numbers are 300, 825, 684
The greatest common divisor of numbers 300, 825, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 825, 684 is 3.
FAQs on GCD of 300, 825, 684 Calculator
1. What is the GCD of 300, 825, 684?
GCD of given numbers 300, 825, 684 is 3
2. How to calculate the greatest common divisor of 300, 825, 684?
We can find the highest common divisor of 300, 825, 684 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 300, 825, 684 i.e 3.
3. How can I use the GCD of 300, 825, 684Calculator?
Out the numbers 300, 825, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.