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, 845, 60, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 845, 60, 347 is 1
GCD(273, 845, 60, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 845, 60, 347 is 1
GCD(273, 845, 60, 347) = 1
Given Input numbers are 273, 845, 60, 347
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 273, 845, 60, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 845, 60, 347 is 1.
Therefore, GCD of numbers 273, 845, 60, 347 is 1
Given Input Data is 273, 845, 60, 347
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 845 is 5 x 13 x 13
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 347 is 347
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, 845) = 17745
GCD(273, 845) = ( 273 x 845 ) / 17745
GCD(273, 845) = 230685 / 17745
GCD(273, 845) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 60) = 780
GCD(13, 60) = ( 13 x 60 ) / 780
GCD(13, 60) = 780 / 780
GCD(13, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 273, 845, 60, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 845, 60, 347?
GCD of 273, 845, 60, 347 is 1
2. Where do I get the detailed procedure to find GCD of 273, 845, 60, 347?
You can find a detailed procedure to find GCD of 273, 845, 60, 347 on our page.
3. How to find GCD of 273, 845, 60, 347 on a calculator?
You can find the GCD of 273, 845, 60, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.