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, 464, 369, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 161, 464, 369, 429 is 1
GCD(161, 464, 369, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 161, 464, 369, 429 is 1
GCD(161, 464, 369, 429) = 1
Given Input numbers are 161, 464, 369, 429
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 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 161, 464, 369, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 464, 369, 429 is 1.
Therefore, GCD of numbers 161, 464, 369, 429 is 1
Given Input Data is 161, 464, 369, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 161 is 7 x 23
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 429 is 3 x 11 x 13
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, 464) = 74704
GCD(161, 464) = ( 161 x 464 ) / 74704
GCD(161, 464) = 74704 / 74704
GCD(161, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 161, 464, 369, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 161, 464, 369, 429?
GCD of 161, 464, 369, 429 is 1
2. Where do I get the detailed procedure to find GCD of 161, 464, 369, 429?
You can find a detailed procedure to find GCD of 161, 464, 369, 429 on our page.
3. How to find GCD of 161, 464, 369, 429 on a calculator?
You can find the GCD of 161, 464, 369, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.