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, 738, 63, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 738, 63, 514 is 1
GCD(225, 738, 63, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 738, 63, 514 is 1
GCD(225, 738, 63, 514) = 1
Given Input numbers are 225, 738, 63, 514
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 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 225, 738, 63, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 738, 63, 514 is 1.
Therefore, GCD of numbers 225, 738, 63, 514 is 1
Given Input Data is 225, 738, 63, 514
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 738 is 2 x 3 x 3 x 41
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 514 is 2 x 257
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, 738) = 18450
GCD(225, 738) = ( 225 x 738 ) / 18450
GCD(225, 738) = 166050 / 18450
GCD(225, 738) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 63) = 63
GCD(9, 63) = ( 9 x 63 ) / 63
GCD(9, 63) = 567 / 63
GCD(9, 63) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 514) = 4626
GCD(9, 514) = ( 9 x 514 ) / 4626
GCD(9, 514) = 4626 / 4626
GCD(9, 514) = 1
GCD of 225, 738, 63, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 738, 63, 514?
GCD of 225, 738, 63, 514 is 1
2. Where do I get the detailed procedure to find GCD of 225, 738, 63, 514?
You can find a detailed procedure to find GCD of 225, 738, 63, 514 on our page.
3. How to find GCD of 225, 738, 63, 514 on a calculator?
You can find the GCD of 225, 738, 63, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.