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 65, 523, 318, 183 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 523, 318, 183 is 1
GCD(65, 523, 318, 183) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 523, 318, 183 is 1
GCD(65, 523, 318, 183) = 1
Given Input numbers are 65, 523, 318, 183
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Greatest Common Divisior
We found the divisors of 65, 523, 318, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 523, 318, 183 is 1.
Therefore, GCD of numbers 65, 523, 318, 183 is 1
Given Input Data is 65, 523, 318, 183
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 523 is 523
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 183 is 3 x 61
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(65, 523) = 33995
GCD(65, 523) = ( 65 x 523 ) / 33995
GCD(65, 523) = 33995 / 33995
GCD(65, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
GCD of 65, 523, 318, 183 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 523, 318, 183?
GCD of 65, 523, 318, 183 is 1
2. Where do I get the detailed procedure to find GCD of 65, 523, 318, 183?
You can find a detailed procedure to find GCD of 65, 523, 318, 183 on our page.
3. How to find GCD of 65, 523, 318, 183 on a calculator?
You can find the GCD of 65, 523, 318, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.