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, 297, 373, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 297, 373, 769 is 1
GCD(225, 297, 373, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 297, 373, 769 is 1
GCD(225, 297, 373, 769) = 1
Given Input numbers are 225, 297, 373, 769
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 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 225, 297, 373, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 297, 373, 769 is 1.
Therefore, GCD of numbers 225, 297, 373, 769 is 1
Given Input Data is 225, 297, 373, 769
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 297 is 3 x 3 x 3 x 11
Prime Factorization of 373 is 373
Prime Factorization of 769 is 769
The above numbers do not have any common prime factor. So GCD is 1
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, 297) = 7425
GCD(225, 297) = ( 225 x 297 ) / 7425
GCD(225, 297) = 66825 / 7425
GCD(225, 297) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 373) = 3357
GCD(9, 373) = ( 9 x 373 ) / 3357
GCD(9, 373) = 3357 / 3357
GCD(9, 373) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 225, 297, 373, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 297, 373, 769?
GCD of 225, 297, 373, 769 is 1
2. Where do I get the detailed procedure to find GCD of 225, 297, 373, 769?
You can find a detailed procedure to find GCD of 225, 297, 373, 769 on our page.
3. How to find GCD of 225, 297, 373, 769 on a calculator?
You can find the GCD of 225, 297, 373, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.