GCD of 720, 805, 225 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 720, 805, 225 quickly. Get the easiest ways to solve the greatest common divisor of 720, 805, 225 i.e 5 in different methods as follows.
Given Input numbers are 720, 805, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 805 :
The positive integer divisors of 805 that completely divides 805 are.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (720, 805, 225) = 5.
Given numbers are 720, 805, 225
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 805 are 5 x 7 x 23
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 720, 805, 225 is 5.
Steps to Calculate GCD of 720, 805, 225 using LCM Formula
Given numbers are 720, 805, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 805) = 115920
GCD(720, 805) = ( 720 x 805 ) / 115920
= 720 / 805
= 720
Step2:
LCM(5, 225) = 225
GCD(5, 225) = ( 5 x 225 ) / 225
= 5 / 225
= 5
So, Greatest Common Divisor of 720, 805, 225 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 720, 805, 225
Given numbers are 720, 805, 225
The greatest common divisor of numbers 720, 805, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 805, 225 is 5.
FAQs on GCD of 720, 805, 225 Calculator
1. What is the GCD of 720, 805, 225?
GCD of given numbers 720, 805, 225 is 5
2. How to calculate the greatest common divisor of 720, 805, 225?
We can find the highest common divisor of 720, 805, 225 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 720, 805, 225 i.e 5.
3. How can I use the GCD of 720, 805, 225Calculator?
Out the numbers 720, 805, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.