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 71, 166, 491, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 166, 491, 437 is 1
GCD(71, 166, 491, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 166, 491, 437 is 1
GCD(71, 166, 491, 437) = 1
Given Input numbers are 71, 166, 491, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 71, 166, 491, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 166, 491, 437 is 1.
Therefore, GCD of numbers 71, 166, 491, 437 is 1
Given Input Data is 71, 166, 491, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 166 is 2 x 83
Prime Factorization of 491 is 491
Prime Factorization of 437 is 19 x 23
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(71, 166) = 11786
GCD(71, 166) = ( 71 x 166 ) / 11786
GCD(71, 166) = 11786 / 11786
GCD(71, 166) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
GCD of 71, 166, 491, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 166, 491, 437?
GCD of 71, 166, 491, 437 is 1
2. Where do I get the detailed procedure to find GCD of 71, 166, 491, 437?
You can find a detailed procedure to find GCD of 71, 166, 491, 437 on our page.
3. How to find GCD of 71, 166, 491, 437 on a calculator?
You can find the GCD of 71, 166, 491, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.