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 87, 891, 304, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 891, 304, 913 is 1
GCD(87, 891, 304, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 891, 304, 913 is 1
GCD(87, 891, 304, 913) = 1
Given Input numbers are 87, 891, 304, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 87, 891, 304, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 891, 304, 913 is 1.
Therefore, GCD of numbers 87, 891, 304, 913 is 1
Given Input Data is 87, 891, 304, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 913 is 11 x 83
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(87, 891) = 25839
GCD(87, 891) = ( 87 x 891 ) / 25839
GCD(87, 891) = 77517 / 25839
GCD(87, 891) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 304) = 912
GCD(3, 304) = ( 3 x 304 ) / 912
GCD(3, 304) = 912 / 912
GCD(3, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 87, 891, 304, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 891, 304, 913?
GCD of 87, 891, 304, 913 is 1
2. Where do I get the detailed procedure to find GCD of 87, 891, 304, 913?
You can find a detailed procedure to find GCD of 87, 891, 304, 913 on our page.
3. How to find GCD of 87, 891, 304, 913 on a calculator?
You can find the GCD of 87, 891, 304, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.