GCD of 690, 609, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 690, 609, 825 quickly. Get the easiest ways to solve the greatest common divisor of 690, 609, 825 i.e 3 in different methods as follows.
Given Input numbers are 690, 609, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
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 (690, 609, 825) = 3.
Given numbers are 690, 609, 825
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 609 are 3 x 7 x 29
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 690, 609, 825 is 3.
Steps to Calculate GCD of 690, 609, 825 using LCM Formula
Given numbers are 690, 609, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 609) = 140070
GCD(690, 609) = ( 690 x 609 ) / 140070
= 690 / 609
= 690
Step2:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 690, 609, 825 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 690, 609, 825
Given numbers are 690, 609, 825
The greatest common divisor of numbers 690, 609, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 609, 825 is 3.
FAQs on GCD of 690, 609, 825 Calculator
1. What is the GCD of 690, 609, 825?
GCD of given numbers 690, 609, 825 is 3
2. How to calculate the greatest common divisor of 690, 609, 825?
We can find the highest common divisor of 690, 609, 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 690, 609, 825 i.e 3.
3. How can I use the GCD of 690, 609, 825Calculator?
Out the numbers 690, 609, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.