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 827, 647, 23, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 647, 23, 318 is 1
GCD(827, 647, 23, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 647, 23, 318 is 1
GCD(827, 647, 23, 318) = 1
Given Input numbers are 827, 647, 23, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
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 827, 647, 23, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 647, 23, 318 is 1.
Therefore, GCD of numbers 827, 647, 23, 318 is 1
Given Input Data is 827, 647, 23, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 647 is 647
Prime Factorization of 23 is 23
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(827, 647) = 535069
GCD(827, 647) = ( 827 x 647 ) / 535069
GCD(827, 647) = 535069 / 535069
GCD(827, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 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 827, 647, 23, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 647, 23, 318?
GCD of 827, 647, 23, 318 is 1
2. Where do I get the detailed procedure to find GCD of 827, 647, 23, 318?
You can find a detailed procedure to find GCD of 827, 647, 23, 318 on our page.
3. How to find GCD of 827, 647, 23, 318 on a calculator?
You can find the GCD of 827, 647, 23, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.