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 865, 499, 72, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 499, 72, 308 is 1
GCD(865, 499, 72, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 499, 72, 308 is 1
GCD(865, 499, 72, 308) = 1
Given Input numbers are 865, 499, 72, 308
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 865, 499, 72, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 499, 72, 308 is 1.
Therefore, GCD of numbers 865, 499, 72, 308 is 1
Given Input Data is 865, 499, 72, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 499 is 499
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 308 is 2 x 2 x 7 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(865, 499) = 431635
GCD(865, 499) = ( 865 x 499 ) / 431635
GCD(865, 499) = 431635 / 431635
GCD(865, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 865, 499, 72, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 499, 72, 308?
GCD of 865, 499, 72, 308 is 1
2. Where do I get the detailed procedure to find GCD of 865, 499, 72, 308?
You can find a detailed procedure to find GCD of 865, 499, 72, 308 on our page.
3. How to find GCD of 865, 499, 72, 308 on a calculator?
You can find the GCD of 865, 499, 72, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.