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 81, 408, 737, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 408, 737, 928 is 1
GCD(81, 408, 737, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 408, 737, 928 is 1
GCD(81, 408, 737, 928) = 1
Given Input numbers are 81, 408, 737, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 81, 408, 737, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 408, 737, 928 is 1.
Therefore, GCD of numbers 81, 408, 737, 928 is 1
Given Input Data is 81, 408, 737, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 737 is 11 x 67
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(81, 408) = 11016
GCD(81, 408) = ( 81 x 408 ) / 11016
GCD(81, 408) = 33048 / 11016
GCD(81, 408) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 737) = 2211
GCD(3, 737) = ( 3 x 737 ) / 2211
GCD(3, 737) = 2211 / 2211
GCD(3, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 81, 408, 737, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 408, 737, 928?
GCD of 81, 408, 737, 928 is 1
2. Where do I get the detailed procedure to find GCD of 81, 408, 737, 928?
You can find a detailed procedure to find GCD of 81, 408, 737, 928 on our page.
3. How to find GCD of 81, 408, 737, 928 on a calculator?
You can find the GCD of 81, 408, 737, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.