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, 133, 478, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 133, 478, 459 is 1
GCD(160, 133, 478, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 133, 478, 459 is 1
GCD(160, 133, 478, 459) = 1
Given Input numbers are 160, 133, 478, 459
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 160, 133, 478, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 133, 478, 459 is 1.
Therefore, GCD of numbers 160, 133, 478, 459 is 1
Given Input Data is 160, 133, 478, 459
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 133 is 7 x 19
Prime Factorization of 478 is 2 x 239
Prime Factorization of 459 is 3 x 3 x 3 x 17
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, 133) = 21280
GCD(160, 133) = ( 160 x 133 ) / 21280
GCD(160, 133) = 21280 / 21280
GCD(160, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 160, 133, 478, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 133, 478, 459?
GCD of 160, 133, 478, 459 is 1
2. Where do I get the detailed procedure to find GCD of 160, 133, 478, 459?
You can find a detailed procedure to find GCD of 160, 133, 478, 459 on our page.
3. How to find GCD of 160, 133, 478, 459 on a calculator?
You can find the GCD of 160, 133, 478, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.