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 161, 182, 18, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 161, 182, 18, 441 is 1
GCD(161, 182, 18, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 161, 182, 18, 441 is 1
GCD(161, 182, 18, 441) = 1
Given Input numbers are 161, 182, 18, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 161, 182, 18, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 182, 18, 441 is 1.
Therefore, GCD of numbers 161, 182, 18, 441 is 1
Given Input Data is 161, 182, 18, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 161 is 7 x 23
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(161, 182) = 4186
GCD(161, 182) = ( 161 x 182 ) / 4186
GCD(161, 182) = 29302 / 4186
GCD(161, 182) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 18) = 126
GCD(7, 18) = ( 7 x 18 ) / 126
GCD(7, 18) = 126 / 126
GCD(7, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 161, 182, 18, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 161, 182, 18, 441?
GCD of 161, 182, 18, 441 is 1
2. Where do I get the detailed procedure to find GCD of 161, 182, 18, 441?
You can find a detailed procedure to find GCD of 161, 182, 18, 441 on our page.
3. How to find GCD of 161, 182, 18, 441 on a calculator?
You can find the GCD of 161, 182, 18, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.