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 500, 766, 396, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 766, 396, 695 is 1
GCD(500, 766, 396, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 766, 396, 695 is 1
GCD(500, 766, 396, 695) = 1
Given Input numbers are 500, 766, 396, 695
To find the GCD of numbers using factoring list out all the divisors of each number
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 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 500, 766, 396, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 766, 396, 695 is 1.
Therefore, GCD of numbers 500, 766, 396, 695 is 1
Given Input Data is 500, 766, 396, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 766 is 2 x 383
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 695 is 5 x 139
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(500, 766) = 191500
GCD(500, 766) = ( 500 x 766 ) / 191500
GCD(500, 766) = 383000 / 191500
GCD(500, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
GCD(2, 396) = 792 / 396
GCD(2, 396) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 695) = 1390
GCD(2, 695) = ( 2 x 695 ) / 1390
GCD(2, 695) = 1390 / 1390
GCD(2, 695) = 1
GCD of 500, 766, 396, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 766, 396, 695?
GCD of 500, 766, 396, 695 is 1
2. Where do I get the detailed procedure to find GCD of 500, 766, 396, 695?
You can find a detailed procedure to find GCD of 500, 766, 396, 695 on our page.
3. How to find GCD of 500, 766, 396, 695 on a calculator?
You can find the GCD of 500, 766, 396, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.