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 891, 377, 75, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 377, 75, 217 is 1
GCD(891, 377, 75, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 377, 75, 217 is 1
GCD(891, 377, 75, 217) = 1
Given Input numbers are 891, 377, 75, 217
To find the GCD of numbers using factoring list out all the divisors of each number
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 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 891, 377, 75, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 377, 75, 217 is 1.
Therefore, GCD of numbers 891, 377, 75, 217 is 1
Given Input Data is 891, 377, 75, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 377 is 13 x 29
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 217 is 7 x 31
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(891, 377) = 335907
GCD(891, 377) = ( 891 x 377 ) / 335907
GCD(891, 377) = 335907 / 335907
GCD(891, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 891, 377, 75, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 891, 377, 75, 217?
GCD of 891, 377, 75, 217 is 1
2. Where do I get the detailed procedure to find GCD of 891, 377, 75, 217?
You can find a detailed procedure to find GCD of 891, 377, 75, 217 on our page.
3. How to find GCD of 891, 377, 75, 217 on a calculator?
You can find the GCD of 891, 377, 75, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.