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 462, 435, 323, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 435, 323, 160 is 1
GCD(462, 435, 323, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 435, 323, 160 is 1
GCD(462, 435, 323, 160) = 1
Given Input numbers are 462, 435, 323, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
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
Greatest Common Divisior
We found the divisors of 462, 435, 323, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 435, 323, 160 is 1.
Therefore, GCD of numbers 462, 435, 323, 160 is 1
Given Input Data is 462, 435, 323, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 323 is 17 x 19
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(462, 435) = 66990
GCD(462, 435) = ( 462 x 435 ) / 66990
GCD(462, 435) = 200970 / 66990
GCD(462, 435) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 323) = 969
GCD(3, 323) = ( 3 x 323 ) / 969
GCD(3, 323) = 969 / 969
GCD(3, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 462, 435, 323, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 435, 323, 160?
GCD of 462, 435, 323, 160 is 1
2. Where do I get the detailed procedure to find GCD of 462, 435, 323, 160?
You can find a detailed procedure to find GCD of 462, 435, 323, 160 on our page.
3. How to find GCD of 462, 435, 323, 160 on a calculator?
You can find the GCD of 462, 435, 323, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.