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, 878, 340, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 878, 340, 666 is 1
GCD(871, 878, 340, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 878, 340, 666 is 1
GCD(871, 878, 340, 666) = 1
Given Input numbers are 871, 878, 340, 666
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 871, 878, 340, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 878, 340, 666 is 1.
Therefore, GCD of numbers 871, 878, 340, 666 is 1
Given Input Data is 871, 878, 340, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 878 is 2 x 439
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 666 is 2 x 3 x 3 x 37
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, 878) = 764738
GCD(871, 878) = ( 871 x 878 ) / 764738
GCD(871, 878) = 764738 / 764738
GCD(871, 878) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 871, 878, 340, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 878, 340, 666?
GCD of 871, 878, 340, 666 is 1
2. Where do I get the detailed procedure to find GCD of 871, 878, 340, 666?
You can find a detailed procedure to find GCD of 871, 878, 340, 666 on our page.
3. How to find GCD of 871, 878, 340, 666 on a calculator?
You can find the GCD of 871, 878, 340, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.