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 686, 665, 68, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 665, 68, 712 is 1
GCD(686, 665, 68, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 665, 68, 712 is 1
GCD(686, 665, 68, 712) = 1
Given Input numbers are 686, 665, 68, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 686, 665, 68, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 665, 68, 712 is 1.
Therefore, GCD of numbers 686, 665, 68, 712 is 1
Given Input Data is 686, 665, 68, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(686, 665) = 65170
GCD(686, 665) = ( 686 x 665 ) / 65170
GCD(686, 665) = 456190 / 65170
GCD(686, 665) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 68) = 476
GCD(7, 68) = ( 7 x 68 ) / 476
GCD(7, 68) = 476 / 476
GCD(7, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
GCD of 686, 665, 68, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 665, 68, 712?
GCD of 686, 665, 68, 712 is 1
2. Where do I get the detailed procedure to find GCD of 686, 665, 68, 712?
You can find a detailed procedure to find GCD of 686, 665, 68, 712 on our page.
3. How to find GCD of 686, 665, 68, 712 on a calculator?
You can find the GCD of 686, 665, 68, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.