GCD of 750, 330, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 750, 330, 825 quickly. Get the easiest ways to solve the greatest common divisor of 750, 330, 825 i.e 15 in different methods as follows.
Given Input numbers are 750, 330, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 (750, 330, 825) = 15.
Given numbers are 750, 330, 825
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31 x 51
Therefore, GCD of 750, 330, 825 is 15.
Steps to Calculate GCD of 750, 330, 825 using LCM Formula
Given numbers are 750, 330, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 330) = 8250
GCD(750, 330) = ( 750 x 330 ) / 8250
= 750 / 330
= 750
Step2:
LCM(30, 825) = 1650
GCD(30, 825) = ( 30 x 825 ) / 1650
= 30 / 825
= 30
So, Greatest Common Divisor of 750, 330, 825 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 750, 330, 825
Given numbers are 750, 330, 825
The greatest common divisor of numbers 750, 330, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 330, 825 is 15.
FAQs on GCD of 750, 330, 825 Calculator
1. What is the GCD of 750, 330, 825?
GCD of given numbers 750, 330, 825 is 15
2. How to calculate the greatest common divisor of 750, 330, 825?
We can find the highest common divisor of 750, 330, 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 750, 330, 825 i.e 15.
3. How can I use the GCD of 750, 330, 825Calculator?
Out the numbers 750, 330, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.