GCD of 800, 225, 200 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 800, 225, 200 quickly. Get the easiest ways to solve the greatest common divisor of 800, 225, 200 i.e 25 in different methods as follows.
Given Input numbers are 800, 225, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (800, 225, 200) = 25.
Given numbers are 800, 225, 200
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 52
Therefore, GCD of 800, 225, 200 is 25.
Steps to Calculate GCD of 800, 225, 200 using LCM Formula
Given numbers are 800, 225, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 225) = 7200
GCD(800, 225) = ( 800 x 225 ) / 7200
= 800 / 225
= 800
Step2:
LCM(25, 200) = 200
GCD(25, 200) = ( 25 x 200 ) / 200
= 25 / 200
= 25
So, Greatest Common Divisor of 800, 225, 200 is 25
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 800, 225, 200
Given numbers are 800, 225, 200
The greatest common divisor of numbers 800, 225, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 225, 200 is 25.
FAQs on GCD of 800, 225, 200 Calculator
1. What is the GCD of 800, 225, 200?
GCD of given numbers 800, 225, 200 is 25
2. How to calculate the greatest common divisor of 800, 225, 200?
We can find the highest common divisor of 800, 225, 200 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 800, 225, 200 i.e 25.
3. How can I use the GCD of 800, 225, 200Calculator?
Out the numbers 800, 225, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.