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, 193, 61, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 193, 61, 450 is 1
GCD(273, 193, 61, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 193, 61, 450 is 1
GCD(273, 193, 61, 450) = 1
Given Input numbers are 273, 193, 61, 450
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 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Greatest Common Divisior
We found the divisors of 273, 193, 61, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 193, 61, 450 is 1.
Therefore, GCD of numbers 273, 193, 61, 450 is 1
Given Input Data is 273, 193, 61, 450
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 193 is 193
Prime Factorization of 61 is 61
Prime Factorization of 450 is 2 x 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(273, 193) = 52689
GCD(273, 193) = ( 273 x 193 ) / 52689
GCD(273, 193) = 52689 / 52689
GCD(273, 193) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 273, 193, 61, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 193, 61, 450?
GCD of 273, 193, 61, 450 is 1
2. Where do I get the detailed procedure to find GCD of 273, 193, 61, 450?
You can find a detailed procedure to find GCD of 273, 193, 61, 450 on our page.
3. How to find GCD of 273, 193, 61, 450 on a calculator?
You can find the GCD of 273, 193, 61, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.