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 871, 349, 966, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 349, 966, 776 is 1
GCD(871, 349, 966, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 349, 966, 776 is 1
GCD(871, 349, 966, 776) = 1
Given Input numbers are 871, 349, 966, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 871, 349, 966, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 349, 966, 776 is 1.
Therefore, GCD of numbers 871, 349, 966, 776 is 1
Given Input Data is 871, 349, 966, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 349 is 349
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(871, 349) = 303979
GCD(871, 349) = ( 871 x 349 ) / 303979
GCD(871, 349) = 303979 / 303979
GCD(871, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 871, 349, 966, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 349, 966, 776?
GCD of 871, 349, 966, 776 is 1
2. Where do I get the detailed procedure to find GCD of 871, 349, 966, 776?
You can find a detailed procedure to find GCD of 871, 349, 966, 776 on our page.
3. How to find GCD of 871, 349, 966, 776 on a calculator?
You can find the GCD of 871, 349, 966, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.