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, 739, 17, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 739, 17, 732 is 1
GCD(687, 739, 17, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 739, 17, 732 is 1
GCD(687, 739, 17, 732) = 1
Given Input numbers are 687, 739, 17, 732
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 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 687, 739, 17, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 739, 17, 732 is 1.
Therefore, GCD of numbers 687, 739, 17, 732 is 1
Given Input Data is 687, 739, 17, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 739 is 739
Prime Factorization of 17 is 17
Prime Factorization of 732 is 2 x 2 x 3 x 61
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, 739) = 507693
GCD(687, 739) = ( 687 x 739 ) / 507693
GCD(687, 739) = 507693 / 507693
GCD(687, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 687, 739, 17, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 739, 17, 732?
GCD of 687, 739, 17, 732 is 1
2. Where do I get the detailed procedure to find GCD of 687, 739, 17, 732?
You can find a detailed procedure to find GCD of 687, 739, 17, 732 on our page.
3. How to find GCD of 687, 739, 17, 732 on a calculator?
You can find the GCD of 687, 739, 17, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.