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 918, 428, 65, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 428, 65, 823 is 1
GCD(918, 428, 65, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 428, 65, 823 is 1
GCD(918, 428, 65, 823) = 1
Given Input numbers are 918, 428, 65, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 918, 428, 65, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 428, 65, 823 is 1.
Therefore, GCD of numbers 918, 428, 65, 823 is 1
Given Input Data is 918, 428, 65, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 65 is 5 x 13
Prime Factorization of 823 is 823
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(918, 428) = 196452
GCD(918, 428) = ( 918 x 428 ) / 196452
GCD(918, 428) = 392904 / 196452
GCD(918, 428) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 918, 428, 65, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 428, 65, 823?
GCD of 918, 428, 65, 823 is 1
2. Where do I get the detailed procedure to find GCD of 918, 428, 65, 823?
You can find a detailed procedure to find GCD of 918, 428, 65, 823 on our page.
3. How to find GCD of 918, 428, 65, 823 on a calculator?
You can find the GCD of 918, 428, 65, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.