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 720, 904, 97, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 904, 97, 961 is 1
GCD(720, 904, 97, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 904, 97, 961 is 1
GCD(720, 904, 97, 961) = 1
Given Input numbers are 720, 904, 97, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 720, 904, 97, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 904, 97, 961 is 1.
Therefore, GCD of numbers 720, 904, 97, 961 is 1
Given Input Data is 720, 904, 97, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 97 is 97
Prime Factorization of 961 is 31 x 31
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(720, 904) = 81360
GCD(720, 904) = ( 720 x 904 ) / 81360
GCD(720, 904) = 650880 / 81360
GCD(720, 904) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 97) = 776
GCD(8, 97) = ( 8 x 97 ) / 776
GCD(8, 97) = 776 / 776
GCD(8, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 720, 904, 97, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 904, 97, 961?
GCD of 720, 904, 97, 961 is 1
2. Where do I get the detailed procedure to find GCD of 720, 904, 97, 961?
You can find a detailed procedure to find GCD of 720, 904, 97, 961 on our page.
3. How to find GCD of 720, 904, 97, 961 on a calculator?
You can find the GCD of 720, 904, 97, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.