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 780, 799, 69, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 799, 69, 686 is 1
GCD(780, 799, 69, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 799, 69, 686 is 1
GCD(780, 799, 69, 686) = 1
Given Input numbers are 780, 799, 69, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 780, 799, 69, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 799, 69, 686 is 1.
Therefore, GCD of numbers 780, 799, 69, 686 is 1
Given Input Data is 780, 799, 69, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 799 is 17 x 47
Prime Factorization of 69 is 3 x 23
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(780, 799) = 623220
GCD(780, 799) = ( 780 x 799 ) / 623220
GCD(780, 799) = 623220 / 623220
GCD(780, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 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 780, 799, 69, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 799, 69, 686?
GCD of 780, 799, 69, 686 is 1
2. Where do I get the detailed procedure to find GCD of 780, 799, 69, 686?
You can find a detailed procedure to find GCD of 780, 799, 69, 686 on our page.
3. How to find GCD of 780, 799, 69, 686 on a calculator?
You can find the GCD of 780, 799, 69, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.