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 24, 428, 464, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 428, 464, 165 is 1
GCD(24, 428, 464, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 428, 464, 165 is 1
GCD(24, 428, 464, 165) = 1
Given Input numbers are 24, 428, 464, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 24, 428, 464, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 428, 464, 165 is 1.
Therefore, GCD of numbers 24, 428, 464, 165 is 1
Given Input Data is 24, 428, 464, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 165 is 3 x 5 x 11
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(24, 428) = 2568
GCD(24, 428) = ( 24 x 428 ) / 2568
GCD(24, 428) = 10272 / 2568
GCD(24, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 464) = 464
GCD(4, 464) = ( 4 x 464 ) / 464
GCD(4, 464) = 1856 / 464
GCD(4, 464) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 165) = 660
GCD(4, 165) = ( 4 x 165 ) / 660
GCD(4, 165) = 660 / 660
GCD(4, 165) = 1
GCD of 24, 428, 464, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 428, 464, 165?
GCD of 24, 428, 464, 165 is 1
2. Where do I get the detailed procedure to find GCD of 24, 428, 464, 165?
You can find a detailed procedure to find GCD of 24, 428, 464, 165 on our page.
3. How to find GCD of 24, 428, 464, 165 on a calculator?
You can find the GCD of 24, 428, 464, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.