GCD of 686, 777, 986 Calculator
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, 777, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 777, 986 is 1
GCD(686, 777, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 777, 986 is 1
GCD(686, 777, 986) = 1
GCDof 686,777,986 is 1
Given Input numbers are 686, 777, 986
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 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 686, 777, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 777, 986 is 1.
Therefore, GCD of numbers 686, 777, 986 is 1
Given Input Data is 686, 777, 986
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 777 is 3 x 7 x 37
Prime Factorization of 986 is 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 686, 777, 986 using LCM Formula
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, 777) = 76146
GCD(686, 777) = ( 686 x 777 ) / 76146
GCD(686, 777) = 533022 / 76146
GCD(686, 777) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 986) = 6902
GCD(7, 986) = ( 7 x 986 ) / 6902
GCD(7, 986) = 6902 / 6902
GCD(7, 986) = 1
GCD of 686, 777, 986 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 686, 777, 986
1. What is the GCD of 686, 777, 986?
GCD of 686, 777, 986 is 1
2. Where do I get the detailed procedure to find GCD of 686, 777, 986?
You can find a detailed procedure to find GCD of 686, 777, 986 on our page.
3. How to find GCD of 686, 777, 986 on a calculator?
You can find the GCD of 686, 777, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.