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, 508, 68, 468 i.e. 4 largest integer that divides all the numbers equally.
GCD of 160, 508, 68, 468 is 4
GCD(160, 508, 68, 468) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 508, 68, 468 is 4
GCD(160, 508, 68, 468) = 4
Given Input numbers are 160, 508, 68, 468
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 160, 508, 68, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 508, 68, 468 is 4.
Therefore, GCD of numbers 160, 508, 68, 468 is 4
Given Input Data is 160, 508, 68, 468
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 508 is 2 x 2 x 127
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 508) = 20320
GCD(160, 508) = ( 160 x 508 ) / 20320
GCD(160, 508) = 81280 / 20320
GCD(160, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 68) = 68
GCD(4, 68) = ( 4 x 68 ) / 68
GCD(4, 68) = 272 / 68
GCD(4, 68) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 468) = 468
GCD(4, 468) = ( 4 x 468 ) / 468
GCD(4, 468) = 1872 / 468
GCD(4, 468) = 4
GCD of 160, 508, 68, 468 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 508, 68, 468?
GCD of 160, 508, 68, 468 is 4
2. Where do I get the detailed procedure to find GCD of 160, 508, 68, 468?
You can find a detailed procedure to find GCD of 160, 508, 68, 468 on our page.
3. How to find GCD of 160, 508, 68, 468 on a calculator?
You can find the GCD of 160, 508, 68, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.