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, 940, 299, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 940, 299, 245 is 1
GCD(273, 940, 299, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 940, 299, 245 is 1
GCD(273, 940, 299, 245) = 1
Given Input numbers are 273, 940, 299, 245
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 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 273, 940, 299, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 940, 299, 245 is 1.
Therefore, GCD of numbers 273, 940, 299, 245 is 1
Given Input Data is 273, 940, 299, 245
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 940 is 2 x 2 x 5 x 47
Prime Factorization of 299 is 13 x 23
Prime Factorization of 245 is 5 x 7 x 7
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, 940) = 256620
GCD(273, 940) = ( 273 x 940 ) / 256620
GCD(273, 940) = 256620 / 256620
GCD(273, 940) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 273, 940, 299, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 940, 299, 245?
GCD of 273, 940, 299, 245 is 1
2. Where do I get the detailed procedure to find GCD of 273, 940, 299, 245?
You can find a detailed procedure to find GCD of 273, 940, 299, 245 on our page.
3. How to find GCD of 273, 940, 299, 245 on a calculator?
You can find the GCD of 273, 940, 299, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.