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 754, 289, 813, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 289, 813, 225 is 1
GCD(754, 289, 813, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 289, 813, 225 is 1
GCD(754, 289, 813, 225) = 1
Given Input numbers are 754, 289, 813, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
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 754, 289, 813, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 289, 813, 225 is 1.
Therefore, GCD of numbers 754, 289, 813, 225 is 1
Given Input Data is 754, 289, 813, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 289 is 17 x 17
Prime Factorization of 813 is 3 x 271
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
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(754, 289) = 217906
GCD(754, 289) = ( 754 x 289 ) / 217906
GCD(754, 289) = 217906 / 217906
GCD(754, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 754, 289, 813, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 289, 813, 225?
GCD of 754, 289, 813, 225 is 1
2. Where do I get the detailed procedure to find GCD of 754, 289, 813, 225?
You can find a detailed procedure to find GCD of 754, 289, 813, 225 on our page.
3. How to find GCD of 754, 289, 813, 225 on a calculator?
You can find the GCD of 754, 289, 813, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.