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 787, 665, 72, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 665, 72, 318 is 1
GCD(787, 665, 72, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 665, 72, 318 is 1
GCD(787, 665, 72, 318) = 1
Given Input numbers are 787, 665, 72, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
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 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 787, 665, 72, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 665, 72, 318 is 1.
Therefore, GCD of numbers 787, 665, 72, 318 is 1
Given Input Data is 787, 665, 72, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 318 is 2 x 3 x 53
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(787, 665) = 523355
GCD(787, 665) = ( 787 x 665 ) / 523355
GCD(787, 665) = 523355 / 523355
GCD(787, 665) = 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 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
GCD of 787, 665, 72, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 665, 72, 318?
GCD of 787, 665, 72, 318 is 1
2. Where do I get the detailed procedure to find GCD of 787, 665, 72, 318?
You can find a detailed procedure to find GCD of 787, 665, 72, 318 on our page.
3. How to find GCD of 787, 665, 72, 318 on a calculator?
You can find the GCD of 787, 665, 72, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.