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 160, 459, 601, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 459, 601, 109 is 1
GCD(160, 459, 601, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 459, 601, 109 is 1
GCD(160, 459, 601, 109) = 1
Given Input numbers are 160, 459, 601, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 160, 459, 601, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 459, 601, 109 is 1.
Therefore, GCD of numbers 160, 459, 601, 109 is 1
Given Input Data is 160, 459, 601, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 601 is 601
Prime Factorization of 109 is 109
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(160, 459) = 73440
GCD(160, 459) = ( 160 x 459 ) / 73440
GCD(160, 459) = 73440 / 73440
GCD(160, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 160, 459, 601, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 459, 601, 109?
GCD of 160, 459, 601, 109 is 1
2. Where do I get the detailed procedure to find GCD of 160, 459, 601, 109?
You can find a detailed procedure to find GCD of 160, 459, 601, 109 on our page.
3. How to find GCD of 160, 459, 601, 109 on a calculator?
You can find the GCD of 160, 459, 601, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.