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 166, 471, 495, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 166, 471, 495, 731 is 1
GCD(166, 471, 495, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 166, 471, 495, 731 is 1
GCD(166, 471, 495, 731) = 1
Given Input numbers are 166, 471, 495, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 166, 471, 495, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 471, 495, 731 is 1.
Therefore, GCD of numbers 166, 471, 495, 731 is 1
Given Input Data is 166, 471, 495, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 166 is 2 x 83
Prime Factorization of 471 is 3 x 157
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 731 is 17 x 43
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(166, 471) = 78186
GCD(166, 471) = ( 166 x 471 ) / 78186
GCD(166, 471) = 78186 / 78186
GCD(166, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 166, 471, 495, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 166, 471, 495, 731?
GCD of 166, 471, 495, 731 is 1
2. Where do I get the detailed procedure to find GCD of 166, 471, 495, 731?
You can find a detailed procedure to find GCD of 166, 471, 495, 731 on our page.
3. How to find GCD of 166, 471, 495, 731 on a calculator?
You can find the GCD of 166, 471, 495, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.