GCD of 210, 825, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 210, 825, 660 quickly. Get the easiest ways to solve the greatest common divisor of 210, 825, 660 i.e 15 in different methods as follows.
Given Input numbers are 210, 825, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (210, 825, 660) = 15.
Given numbers are 210, 825, 660
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31 x 51
Therefore, GCD of 210, 825, 660 is 15.
Steps to Calculate GCD of 210, 825, 660 using LCM Formula
Given numbers are 210, 825, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 825) = 11550
GCD(210, 825) = ( 210 x 825 ) / 11550
= 210 / 825
= 210
Step2:
LCM(15, 660) = 660
GCD(15, 660) = ( 15 x 660 ) / 660
= 15 / 660
= 15
So, Greatest Common Divisor of 210, 825, 660 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 210, 825, 660
Given numbers are 210, 825, 660
The greatest common divisor of numbers 210, 825, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 825, 660 is 15.
FAQs on GCD of 210, 825, 660 Calculator
1. What is the GCD of 210, 825, 660?
GCD of given numbers 210, 825, 660 is 15
2. How to calculate the greatest common divisor of 210, 825, 660?
We can find the highest common divisor of 210, 825, 660 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 210, 825, 660 i.e 15.
3. How can I use the GCD of 210, 825, 660Calculator?
Out the numbers 210, 825, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.