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 186, 709, 687, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 186, 709, 687, 706 is 1
GCD(186, 709, 687, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 186, 709, 687, 706 is 1
GCD(186, 709, 687, 706) = 1
Given Input numbers are 186, 709, 687, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 186, 709, 687, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 709, 687, 706 is 1.
Therefore, GCD of numbers 186, 709, 687, 706 is 1
Given Input Data is 186, 709, 687, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 709 is 709
Prime Factorization of 687 is 3 x 229
Prime Factorization of 706 is 2 x 353
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(186, 709) = 131874
GCD(186, 709) = ( 186 x 709 ) / 131874
GCD(186, 709) = 131874 / 131874
GCD(186, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 186, 709, 687, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 186, 709, 687, 706?
GCD of 186, 709, 687, 706 is 1
2. Where do I get the detailed procedure to find GCD of 186, 709, 687, 706?
You can find a detailed procedure to find GCD of 186, 709, 687, 706 on our page.
3. How to find GCD of 186, 709, 687, 706 on a calculator?
You can find the GCD of 186, 709, 687, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.