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 245, 273, 280, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 273, 280, 912 is 1
GCD(245, 273, 280, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 273, 280, 912 is 1
GCD(245, 273, 280, 912) = 1
Given Input numbers are 245, 273, 280, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 245, 273, 280, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 273, 280, 912 is 1.
Therefore, GCD of numbers 245, 273, 280, 912 is 1
Given Input Data is 245, 273, 280, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(245, 273) = 9555
GCD(245, 273) = ( 245 x 273 ) / 9555
GCD(245, 273) = 66885 / 9555
GCD(245, 273) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 280) = 280
GCD(7, 280) = ( 7 x 280 ) / 280
GCD(7, 280) = 1960 / 280
GCD(7, 280) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 912) = 6384
GCD(7, 912) = ( 7 x 912 ) / 6384
GCD(7, 912) = 6384 / 6384
GCD(7, 912) = 1
GCD of 245, 273, 280, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 273, 280, 912?
GCD of 245, 273, 280, 912 is 1
2. Where do I get the detailed procedure to find GCD of 245, 273, 280, 912?
You can find a detailed procedure to find GCD of 245, 273, 280, 912 on our page.
3. How to find GCD of 245, 273, 280, 912 on a calculator?
You can find the GCD of 245, 273, 280, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.