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, 988, 202, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 988, 202, 912 is 1
GCD(891, 988, 202, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 988, 202, 912 is 1
GCD(891, 988, 202, 912) = 1
Given Input numbers are 891, 988, 202, 912
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 891, 988, 202, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 988, 202, 912 is 1.
Therefore, GCD of numbers 891, 988, 202, 912 is 1
Given Input Data is 891, 988, 202, 912
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 988 is 2 x 2 x 13 x 19
Prime Factorization of 202 is 2 x 101
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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, 988) = 880308
GCD(891, 988) = ( 891 x 988 ) / 880308
GCD(891, 988) = 880308 / 880308
GCD(891, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 891, 988, 202, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 891, 988, 202, 912?
GCD of 891, 988, 202, 912 is 1
2. Where do I get the detailed procedure to find GCD of 891, 988, 202, 912?
You can find a detailed procedure to find GCD of 891, 988, 202, 912 on our page.
3. How to find GCD of 891, 988, 202, 912 on a calculator?
You can find the GCD of 891, 988, 202, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.