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 80, 695, 581, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 695, 581, 871 is 1
GCD(80, 695, 581, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 695, 581, 871 is 1
GCD(80, 695, 581, 871) = 1
Given Input numbers are 80, 695, 581, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
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 80, 695, 581, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 695, 581, 871 is 1.
Therefore, GCD of numbers 80, 695, 581, 871 is 1
Given Input Data is 80, 695, 581, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 695 is 5 x 139
Prime Factorization of 581 is 7 x 83
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(80, 695) = 11120
GCD(80, 695) = ( 80 x 695 ) / 11120
GCD(80, 695) = 55600 / 11120
GCD(80, 695) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 581) = 2905
GCD(5, 581) = ( 5 x 581 ) / 2905
GCD(5, 581) = 2905 / 2905
GCD(5, 581) = 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 80, 695, 581, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 695, 581, 871?
GCD of 80, 695, 581, 871 is 1
2. Where do I get the detailed procedure to find GCD of 80, 695, 581, 871?
You can find a detailed procedure to find GCD of 80, 695, 581, 871 on our page.
3. How to find GCD of 80, 695, 581, 871 on a calculator?
You can find the GCD of 80, 695, 581, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.