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 468, 153, 85, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 153, 85, 665 is 1
GCD(468, 153, 85, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 153, 85, 665 is 1
GCD(468, 153, 85, 665) = 1
Given Input numbers are 468, 153, 85, 665
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 468, 153, 85, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 153, 85, 665 is 1.
Therefore, GCD of numbers 468, 153, 85, 665 is 1
Given Input Data is 468, 153, 85, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 85 is 5 x 17
Prime Factorization of 665 is 5 x 7 x 19
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(468, 153) = 7956
GCD(468, 153) = ( 468 x 153 ) / 7956
GCD(468, 153) = 71604 / 7956
GCD(468, 153) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 85) = 765
GCD(9, 85) = ( 9 x 85 ) / 765
GCD(9, 85) = 765 / 765
GCD(9, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 468, 153, 85, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 153, 85, 665?
GCD of 468, 153, 85, 665 is 1
2. Where do I get the detailed procedure to find GCD of 468, 153, 85, 665?
You can find a detailed procedure to find GCD of 468, 153, 85, 665 on our page.
3. How to find GCD of 468, 153, 85, 665 on a calculator?
You can find the GCD of 468, 153, 85, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.