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, 971, 14, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 971, 14, 768 is 1
GCD(891, 971, 14, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 971, 14, 768 is 1
GCD(891, 971, 14, 768) = 1
Given Input numbers are 891, 971, 14, 768
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 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 891, 971, 14, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 971, 14, 768 is 1.
Therefore, GCD of numbers 891, 971, 14, 768 is 1
Given Input Data is 891, 971, 14, 768
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 971 is 971
Prime Factorization of 14 is 2 x 7
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 971) = 865161
GCD(891, 971) = ( 891 x 971 ) / 865161
GCD(891, 971) = 865161 / 865161
GCD(891, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 891, 971, 14, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 891, 971, 14, 768?
GCD of 891, 971, 14, 768 is 1
2. Where do I get the detailed procedure to find GCD of 891, 971, 14, 768?
You can find a detailed procedure to find GCD of 891, 971, 14, 768 on our page.
3. How to find GCD of 891, 971, 14, 768 on a calculator?
You can find the GCD of 891, 971, 14, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.