GCD of 176, 920, 225 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 176, 920, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 920, 225 is 1
GCD(176, 920, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 920, 225 is 1
GCD(176, 920, 225) = 1
GCDof 176,920,225 is 1
Given Input numbers are 176, 920, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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
Greatest Common Divisior
We found the divisors of 176, 920, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 920, 225 is 1.
Therefore, GCD of numbers 176, 920, 225 is 1
Given Input Data is 176, 920, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 225 is 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 176, 920, 225 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(176, 920) = 20240
GCD(176, 920) = ( 176 x 920 ) / 20240
GCD(176, 920) = 161920 / 20240
GCD(176, 920) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 225) = 1800
GCD(8, 225) = ( 8 x 225 ) / 1800
GCD(8, 225) = 1800 / 1800
GCD(8, 225) = 1
GCD of 176, 920, 225 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 176, 920, 225
1. What is the GCD of 176, 920, 225?
GCD of 176, 920, 225 is 1
2. Where do I get the detailed procedure to find GCD of 176, 920, 225?
You can find a detailed procedure to find GCD of 176, 920, 225 on our page.
3. How to find GCD of 176, 920, 225 on a calculator?
You can find the GCD of 176, 920, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.