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 79, 696, 209, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 79, 696, 209, 686 is 1
GCD(79, 696, 209, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 79, 696, 209, 686 is 1
GCD(79, 696, 209, 686) = 1
Given Input numbers are 79, 696, 209, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 79, 696, 209, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 696, 209, 686 is 1.
Therefore, GCD of numbers 79, 696, 209, 686 is 1
Given Input Data is 79, 696, 209, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 79 is 79
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 209 is 11 x 19
Prime Factorization of 686 is 2 x 7 x 7 x 7
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(79, 696) = 54984
GCD(79, 696) = ( 79 x 696 ) / 54984
GCD(79, 696) = 54984 / 54984
GCD(79, 696) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
GCD of 79, 696, 209, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 79, 696, 209, 686?
GCD of 79, 696, 209, 686 is 1
2. Where do I get the detailed procedure to find GCD of 79, 696, 209, 686?
You can find a detailed procedure to find GCD of 79, 696, 209, 686 on our page.
3. How to find GCD of 79, 696, 209, 686 on a calculator?
You can find the GCD of 79, 696, 209, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.