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 272, 867, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 867, 445 is 1
GCD(272, 867, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 867, 445 is 1
GCD(272, 867, 445) = 1
Given Input numbers are 272, 867, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 272, 867, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 867, 445 is 1.
Therefore, GCD of numbers 272, 867, 445 is 1
Given Input Data is 272, 867, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 445 is 5 x 89
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(272, 867) = 13872
GCD(272, 867) = ( 272 x 867 ) / 13872
GCD(272, 867) = 235824 / 13872
GCD(272, 867) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 445) = 7565
GCD(17, 445) = ( 17 x 445 ) / 7565
GCD(17, 445) = 7565 / 7565
GCD(17, 445) = 1
GCD of 272, 867, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 867, 445?
GCD of 272, 867, 445 is 1
2. Where do I get the detailed procedure to find GCD of 272, 867, 445?
You can find a detailed procedure to find GCD of 272, 867, 445 on our page.
3. How to find GCD of 272, 867, 445 on a calculator?
You can find the GCD of 272, 867, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.