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 697, 500, 782, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 500, 782, 468 is 1
GCD(697, 500, 782, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 500, 782, 468 is 1
GCD(697, 500, 782, 468) = 1
Given Input numbers are 697, 500, 782, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 697, 500, 782, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 500, 782, 468 is 1.
Therefore, GCD of numbers 697, 500, 782, 468 is 1
Given Input Data is 697, 500, 782, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(697, 500) = 348500
GCD(697, 500) = ( 697 x 500 ) / 348500
GCD(697, 500) = 348500 / 348500
GCD(697, 500) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 697, 500, 782, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 500, 782, 468?
GCD of 697, 500, 782, 468 is 1
2. Where do I get the detailed procedure to find GCD of 697, 500, 782, 468?
You can find a detailed procedure to find GCD of 697, 500, 782, 468 on our page.
3. How to find GCD of 697, 500, 782, 468 on a calculator?
You can find the GCD of 697, 500, 782, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.