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 321, 976, 987, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 976, 987, 885 is 1
GCD(321, 976, 987, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 976, 987, 885 is 1
GCD(321, 976, 987, 885) = 1
Given Input numbers are 321, 976, 987, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 321, 976, 987, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 976, 987, 885 is 1.
Therefore, GCD of numbers 321, 976, 987, 885 is 1
Given Input Data is 321, 976, 987, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 885 is 3 x 5 x 59
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(321, 976) = 313296
GCD(321, 976) = ( 321 x 976 ) / 313296
GCD(321, 976) = 313296 / 313296
GCD(321, 976) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 321, 976, 987, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 976, 987, 885?
GCD of 321, 976, 987, 885 is 1
2. Where do I get the detailed procedure to find GCD of 321, 976, 987, 885?
You can find a detailed procedure to find GCD of 321, 976, 987, 885 on our page.
3. How to find GCD of 321, 976, 987, 885 on a calculator?
You can find the GCD of 321, 976, 987, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.