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 164, 177, 491, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 177, 491, 466 is 1
GCD(164, 177, 491, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 177, 491, 466 is 1
GCD(164, 177, 491, 466) = 1
Given Input numbers are 164, 177, 491, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 164, 177, 491, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 177, 491, 466 is 1.
Therefore, GCD of numbers 164, 177, 491, 466 is 1
Given Input Data is 164, 177, 491, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 177 is 3 x 59
Prime Factorization of 491 is 491
Prime Factorization of 466 is 2 x 233
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(164, 177) = 29028
GCD(164, 177) = ( 164 x 177 ) / 29028
GCD(164, 177) = 29028 / 29028
GCD(164, 177) = 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 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 164, 177, 491, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 177, 491, 466?
GCD of 164, 177, 491, 466 is 1
2. Where do I get the detailed procedure to find GCD of 164, 177, 491, 466?
You can find a detailed procedure to find GCD of 164, 177, 491, 466 on our page.
3. How to find GCD of 164, 177, 491, 466 on a calculator?
You can find the GCD of 164, 177, 491, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.