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, 778, 18, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 778, 18, 159 is 1
GCD(687, 778, 18, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 778, 18, 159 is 1
GCD(687, 778, 18, 159) = 1
Given Input numbers are 687, 778, 18, 159
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 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 687, 778, 18, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 778, 18, 159 is 1.
Therefore, GCD of numbers 687, 778, 18, 159 is 1
Given Input Data is 687, 778, 18, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 778 is 2 x 389
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 159 is 3 x 53
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, 778) = 534486
GCD(687, 778) = ( 687 x 778 ) / 534486
GCD(687, 778) = 534486 / 534486
GCD(687, 778) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 687, 778, 18, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 778, 18, 159?
GCD of 687, 778, 18, 159 is 1
2. Where do I get the detailed procedure to find GCD of 687, 778, 18, 159?
You can find a detailed procedure to find GCD of 687, 778, 18, 159 on our page.
3. How to find GCD of 687, 778, 18, 159 on a calculator?
You can find the GCD of 687, 778, 18, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.