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 427, 540, 697, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 540, 697, 823 is 1
GCD(427, 540, 697, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 540, 697, 823 is 1
GCD(427, 540, 697, 823) = 1
Given Input numbers are 427, 540, 697, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
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 427, 540, 697, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 540, 697, 823 is 1.
Therefore, GCD of numbers 427, 540, 697, 823 is 1
Given Input Data is 427, 540, 697, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 697 is 17 x 41
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(427, 540) = 230580
GCD(427, 540) = ( 427 x 540 ) / 230580
GCD(427, 540) = 230580 / 230580
GCD(427, 540) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 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 427, 540, 697, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 540, 697, 823?
GCD of 427, 540, 697, 823 is 1
2. Where do I get the detailed procedure to find GCD of 427, 540, 697, 823?
You can find a detailed procedure to find GCD of 427, 540, 697, 823 on our page.
3. How to find GCD of 427, 540, 697, 823 on a calculator?
You can find the GCD of 427, 540, 697, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.