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 783, 394, 967, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 783, 394, 967, 871 is 1
GCD(783, 394, 967, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 394, 967, 871 is 1
GCD(783, 394, 967, 871) = 1
Given Input numbers are 783, 394, 967, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 783, 394, 967, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 394, 967, 871 is 1.
Therefore, GCD of numbers 783, 394, 967, 871 is 1
Given Input Data is 783, 394, 967, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 394 is 2 x 197
Prime Factorization of 967 is 967
Prime Factorization of 871 is 13 x 67
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(783, 394) = 308502
GCD(783, 394) = ( 783 x 394 ) / 308502
GCD(783, 394) = 308502 / 308502
GCD(783, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 783, 394, 967, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 394, 967, 871?
GCD of 783, 394, 967, 871 is 1
2. Where do I get the detailed procedure to find GCD of 783, 394, 967, 871?
You can find a detailed procedure to find GCD of 783, 394, 967, 871 on our page.
3. How to find GCD of 783, 394, 967, 871 on a calculator?
You can find the GCD of 783, 394, 967, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.