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, 327, 64, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 327, 64, 981 is 1
GCD(960, 327, 64, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 327, 64, 981 is 1
GCD(960, 327, 64, 981) = 1
Given Input numbers are 960, 327, 64, 981
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 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 960, 327, 64, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 327, 64, 981 is 1.
Therefore, GCD of numbers 960, 327, 64, 981 is 1
Given Input Data is 960, 327, 64, 981
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 327 is 3 x 109
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 981 is 3 x 3 x 109
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, 327) = 104640
GCD(960, 327) = ( 960 x 327 ) / 104640
GCD(960, 327) = 313920 / 104640
GCD(960, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 64) = 192
GCD(3, 64) = ( 3 x 64 ) / 192
GCD(3, 64) = 192 / 192
GCD(3, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 960, 327, 64, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 327, 64, 981?
GCD of 960, 327, 64, 981 is 1
2. Where do I get the detailed procedure to find GCD of 960, 327, 64, 981?
You can find a detailed procedure to find GCD of 960, 327, 64, 981 on our page.
3. How to find GCD of 960, 327, 64, 981 on a calculator?
You can find the GCD of 960, 327, 64, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.