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, 126, 32, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 161, 126, 32, 232 is 1
GCD(161, 126, 32, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 161, 126, 32, 232 is 1
GCD(161, 126, 32, 232) = 1
Given Input numbers are 161, 126, 32, 232
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 161, 126, 32, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 126, 32, 232 is 1.
Therefore, GCD of numbers 161, 126, 32, 232 is 1
Given Input Data is 161, 126, 32, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 161 is 7 x 23
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 232 is 2 x 2 x 2 x 29
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, 126) = 2898
GCD(161, 126) = ( 161 x 126 ) / 2898
GCD(161, 126) = 20286 / 2898
GCD(161, 126) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 32) = 224
GCD(7, 32) = ( 7 x 32 ) / 224
GCD(7, 32) = 224 / 224
GCD(7, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
GCD of 161, 126, 32, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 161, 126, 32, 232?
GCD of 161, 126, 32, 232 is 1
2. Where do I get the detailed procedure to find GCD of 161, 126, 32, 232?
You can find a detailed procedure to find GCD of 161, 126, 32, 232 on our page.
3. How to find GCD of 161, 126, 32, 232 on a calculator?
You can find the GCD of 161, 126, 32, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.