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, 865, 42, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 161, 865, 42, 829 is 1
GCD(161, 865, 42, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 161, 865, 42, 829 is 1
GCD(161, 865, 42, 829) = 1
Given Input numbers are 161, 865, 42, 829
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 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 161, 865, 42, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 865, 42, 829 is 1.
Therefore, GCD of numbers 161, 865, 42, 829 is 1
Given Input Data is 161, 865, 42, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 161 is 7 x 23
Prime Factorization of 865 is 5 x 173
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 829 is 829
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, 865) = 139265
GCD(161, 865) = ( 161 x 865 ) / 139265
GCD(161, 865) = 139265 / 139265
GCD(161, 865) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 161, 865, 42, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 161, 865, 42, 829?
GCD of 161, 865, 42, 829 is 1
2. Where do I get the detailed procedure to find GCD of 161, 865, 42, 829?
You can find a detailed procedure to find GCD of 161, 865, 42, 829 on our page.
3. How to find GCD of 161, 865, 42, 829 on a calculator?
You can find the GCD of 161, 865, 42, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.