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 960, 897, 297, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 897, 297, 904 is 1
GCD(960, 897, 297, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 897, 297, 904 is 1
GCD(960, 897, 297, 904) = 1
Given Input numbers are 960, 897, 297, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 960, 897, 297, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 897, 297, 904 is 1.
Therefore, GCD of numbers 960, 897, 297, 904 is 1
Given Input Data is 960, 897, 297, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(960, 897) = 287040
GCD(960, 897) = ( 960 x 897 ) / 287040
GCD(960, 897) = 861120 / 287040
GCD(960, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
GCD(3, 297) = 891 / 297
GCD(3, 297) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 904) = 2712
GCD(3, 904) = ( 3 x 904 ) / 2712
GCD(3, 904) = 2712 / 2712
GCD(3, 904) = 1
GCD of 960, 897, 297, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 897, 297, 904?
GCD of 960, 897, 297, 904 is 1
2. Where do I get the detailed procedure to find GCD of 960, 897, 297, 904?
You can find a detailed procedure to find GCD of 960, 897, 297, 904 on our page.
3. How to find GCD of 960, 897, 297, 904 on a calculator?
You can find the GCD of 960, 897, 297, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.