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 869, 133, 180, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 133, 180, 471 is 1
GCD(869, 133, 180, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 133, 180, 471 is 1
GCD(869, 133, 180, 471) = 1
Given Input numbers are 869, 133, 180, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 869, 133, 180, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 133, 180, 471 is 1.
Therefore, GCD of numbers 869, 133, 180, 471 is 1
Given Input Data is 869, 133, 180, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 133 is 7 x 19
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 471 is 3 x 157
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(869, 133) = 115577
GCD(869, 133) = ( 869 x 133 ) / 115577
GCD(869, 133) = 115577 / 115577
GCD(869, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 869, 133, 180, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 133, 180, 471?
GCD of 869, 133, 180, 471 is 1
2. Where do I get the detailed procedure to find GCD of 869, 133, 180, 471?
You can find a detailed procedure to find GCD of 869, 133, 180, 471 on our page.
3. How to find GCD of 869, 133, 180, 471 on a calculator?
You can find the GCD of 869, 133, 180, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.