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, 697, 54, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 697, 54, 805 is 1
GCD(918, 697, 54, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 697, 54, 805 is 1
GCD(918, 697, 54, 805) = 1
Given Input numbers are 918, 697, 54, 805
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 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 918, 697, 54, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 697, 54, 805 is 1.
Therefore, GCD of numbers 918, 697, 54, 805 is 1
Given Input Data is 918, 697, 54, 805
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 697 is 17 x 41
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 805 is 5 x 7 x 23
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, 697) = 37638
GCD(918, 697) = ( 918 x 697 ) / 37638
GCD(918, 697) = 639846 / 37638
GCD(918, 697) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 54) = 918
GCD(17, 54) = ( 17 x 54 ) / 918
GCD(17, 54) = 918 / 918
GCD(17, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 918, 697, 54, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 697, 54, 805?
GCD of 918, 697, 54, 805 is 1
2. Where do I get the detailed procedure to find GCD of 918, 697, 54, 805?
You can find a detailed procedure to find GCD of 918, 697, 54, 805 on our page.
3. How to find GCD of 918, 697, 54, 805 on a calculator?
You can find the GCD of 918, 697, 54, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.