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 171, 740, 371, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 740, 371, 809 is 1
GCD(171, 740, 371, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 740, 371, 809 is 1
GCD(171, 740, 371, 809) = 1
Given Input numbers are 171, 740, 371, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 171, 740, 371, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 740, 371, 809 is 1.
Therefore, GCD of numbers 171, 740, 371, 809 is 1
Given Input Data is 171, 740, 371, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 371 is 7 x 53
Prime Factorization of 809 is 809
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(171, 740) = 126540
GCD(171, 740) = ( 171 x 740 ) / 126540
GCD(171, 740) = 126540 / 126540
GCD(171, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 171, 740, 371, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 740, 371, 809?
GCD of 171, 740, 371, 809 is 1
2. Where do I get the detailed procedure to find GCD of 171, 740, 371, 809?
You can find a detailed procedure to find GCD of 171, 740, 371, 809 on our page.
3. How to find GCD of 171, 740, 371, 809 on a calculator?
You can find the GCD of 171, 740, 371, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.