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 687, 381, 664, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 381, 664, 787 is 1
GCD(687, 381, 664, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 381, 664, 787 is 1
GCD(687, 381, 664, 787) = 1
Given Input numbers are 687, 381, 664, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 687, 381, 664, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 381, 664, 787 is 1.
Therefore, GCD of numbers 687, 381, 664, 787 is 1
Given Input Data is 687, 381, 664, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 381 is 3 x 127
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 787 is 787
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(687, 381) = 87249
GCD(687, 381) = ( 687 x 381 ) / 87249
GCD(687, 381) = 261747 / 87249
GCD(687, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
GCD(3, 664) = 1992 / 1992
GCD(3, 664) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 687, 381, 664, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 381, 664, 787?
GCD of 687, 381, 664, 787 is 1
2. Where do I get the detailed procedure to find GCD of 687, 381, 664, 787?
You can find a detailed procedure to find GCD of 687, 381, 664, 787 on our page.
3. How to find GCD of 687, 381, 664, 787 on a calculator?
You can find the GCD of 687, 381, 664, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.