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 465, 985, 24, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 985, 24, 335 is 1
GCD(465, 985, 24, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 985, 24, 335 is 1
GCD(465, 985, 24, 335) = 1
Given Input numbers are 465, 985, 24, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
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 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 465, 985, 24, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 985, 24, 335 is 1.
Therefore, GCD of numbers 465, 985, 24, 335 is 1
Given Input Data is 465, 985, 24, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 985 is 5 x 197
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 335 is 5 x 67
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(465, 985) = 91605
GCD(465, 985) = ( 465 x 985 ) / 91605
GCD(465, 985) = 458025 / 91605
GCD(465, 985) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 24) = 120
GCD(5, 24) = ( 5 x 24 ) / 120
GCD(5, 24) = 120 / 120
GCD(5, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 465, 985, 24, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 985, 24, 335?
GCD of 465, 985, 24, 335 is 1
2. Where do I get the detailed procedure to find GCD of 465, 985, 24, 335?
You can find a detailed procedure to find GCD of 465, 985, 24, 335 on our page.
3. How to find GCD of 465, 985, 24, 335 on a calculator?
You can find the GCD of 465, 985, 24, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.