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 273, 225, 69, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 225, 69, 649 is 1
GCD(273, 225, 69, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 225, 69, 649 is 1
GCD(273, 225, 69, 649) = 1
Given Input numbers are 273, 225, 69, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
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 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 273, 225, 69, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 225, 69, 649 is 1.
Therefore, GCD of numbers 273, 225, 69, 649 is 1
Given Input Data is 273, 225, 69, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 69 is 3 x 23
Prime Factorization of 649 is 11 x 59
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(273, 225) = 20475
GCD(273, 225) = ( 273 x 225 ) / 20475
GCD(273, 225) = 61425 / 20475
GCD(273, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 649) = 1947
GCD(3, 649) = ( 3 x 649 ) / 1947
GCD(3, 649) = 1947 / 1947
GCD(3, 649) = 1
GCD of 273, 225, 69, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 225, 69, 649?
GCD of 273, 225, 69, 649 is 1
2. Where do I get the detailed procedure to find GCD of 273, 225, 69, 649?
You can find a detailed procedure to find GCD of 273, 225, 69, 649 on our page.
3. How to find GCD of 273, 225, 69, 649 on a calculator?
You can find the GCD of 273, 225, 69, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.