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 913, 440, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 440, 272 is 1
GCD(913, 440, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 440, 272 is 1
GCD(913, 440, 272) = 1
Given Input numbers are 913, 440, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
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
Greatest Common Divisior
We found the divisors of 913, 440, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 440, 272 is 1.
Therefore, GCD of numbers 913, 440, 272 is 1
Given Input Data is 913, 440, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(913, 440) = 36520
GCD(913, 440) = ( 913 x 440 ) / 36520
GCD(913, 440) = 401720 / 36520
GCD(913, 440) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 272) = 2992
GCD(11, 272) = ( 11 x 272 ) / 2992
GCD(11, 272) = 2992 / 2992
GCD(11, 272) = 1
GCD of 913, 440, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 440, 272?
GCD of 913, 440, 272 is 1
2. Where do I get the detailed procedure to find GCD of 913, 440, 272?
You can find a detailed procedure to find GCD of 913, 440, 272 on our page.
3. How to find GCD of 913, 440, 272 on a calculator?
You can find the GCD of 913, 440, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.