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 889, 891, 234, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 889, 891, 234, 975 is 1
GCD(889, 891, 234, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 891, 234, 975 is 1
GCD(889, 891, 234, 975) = 1
Given Input numbers are 889, 891, 234, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
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 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 889, 891, 234, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 891, 234, 975 is 1.
Therefore, GCD of numbers 889, 891, 234, 975 is 1
Given Input Data is 889, 891, 234, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(889, 891) = 792099
GCD(889, 891) = ( 889 x 891 ) / 792099
GCD(889, 891) = 792099 / 792099
GCD(889, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 889, 891, 234, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 891, 234, 975?
GCD of 889, 891, 234, 975 is 1
2. Where do I get the detailed procedure to find GCD of 889, 891, 234, 975?
You can find a detailed procedure to find GCD of 889, 891, 234, 975 on our page.
3. How to find GCD of 889, 891, 234, 975 on a calculator?
You can find the GCD of 889, 891, 234, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.