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, 485, 33, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 485, 33, 434 is 1
GCD(160, 485, 33, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 485, 33, 434 is 1
GCD(160, 485, 33, 434) = 1
Given Input numbers are 160, 485, 33, 434
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 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 160, 485, 33, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 485, 33, 434 is 1.
Therefore, GCD of numbers 160, 485, 33, 434 is 1
Given Input Data is 160, 485, 33, 434
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 485 is 5 x 97
Prime Factorization of 33 is 3 x 11
Prime Factorization of 434 is 2 x 7 x 31
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, 485) = 15520
GCD(160, 485) = ( 160 x 485 ) / 15520
GCD(160, 485) = 77600 / 15520
GCD(160, 485) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 33) = 165
GCD(5, 33) = ( 5 x 33 ) / 165
GCD(5, 33) = 165 / 165
GCD(5, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 160, 485, 33, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 485, 33, 434?
GCD of 160, 485, 33, 434 is 1
2. Where do I get the detailed procedure to find GCD of 160, 485, 33, 434?
You can find a detailed procedure to find GCD of 160, 485, 33, 434 on our page.
3. How to find GCD of 160, 485, 33, 434 on a calculator?
You can find the GCD of 160, 485, 33, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.