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 290, 225, 44, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 225, 44, 774 is 1
GCD(290, 225, 44, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 225, 44, 774 is 1
GCD(290, 225, 44, 774) = 1
Given Input numbers are 290, 225, 44, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
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 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 290, 225, 44, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 225, 44, 774 is 1.
Therefore, GCD of numbers 290, 225, 44, 774 is 1
Given Input Data is 290, 225, 44, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 774 is 2 x 3 x 3 x 43
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(290, 225) = 13050
GCD(290, 225) = ( 290 x 225 ) / 13050
GCD(290, 225) = 65250 / 13050
GCD(290, 225) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 44) = 220
GCD(5, 44) = ( 5 x 44 ) / 220
GCD(5, 44) = 220 / 220
GCD(5, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 290, 225, 44, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 225, 44, 774?
GCD of 290, 225, 44, 774 is 1
2. Where do I get the detailed procedure to find GCD of 290, 225, 44, 774?
You can find a detailed procedure to find GCD of 290, 225, 44, 774 on our page.
3. How to find GCD of 290, 225, 44, 774 on a calculator?
You can find the GCD of 290, 225, 44, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.