GCD of 225, 150, 17 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 225, 150, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 150, 17 is 1
GCD(225, 150, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 150, 17 is 1
GCD(225, 150, 17) = 1
GCDof 225,150,17 is 1
Given Input numbers are 225, 150, 17
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Greatest Common Divisior
We found the divisors of 225, 150, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 150, 17 is 1.
Therefore, GCD of numbers 225, 150, 17 is 1
Given Input Data is 225, 150, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 17 is 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 225, 150, 17 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(225, 150) = 450
GCD(225, 150) = ( 225 x 150 ) / 450
GCD(225, 150) = 33750 / 450
GCD(225, 150) = 75
Step2:
Here we consider the GCD from the above i.e. 75 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(75, 17) = 1275
GCD(75, 17) = ( 75 x 17 ) / 1275
GCD(75, 17) = 1275 / 1275
GCD(75, 17) = 1
GCD of 225, 150, 17 is 1
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FAQs on GCD of numbers 225, 150, 17
1. What is the GCD of 225, 150, 17?
GCD of 225, 150, 17 is 1
2. Where do I get the detailed procedure to find GCD of 225, 150, 17?
You can find a detailed procedure to find GCD of 225, 150, 17 on our page.
3. How to find GCD of 225, 150, 17 on a calculator?
You can find the GCD of 225, 150, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
