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 680, 386, 853, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 386, 853, 104 is 1
GCD(680, 386, 853, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 386, 853, 104 is 1
GCD(680, 386, 853, 104) = 1
Given Input numbers are 680, 386, 853, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 680, 386, 853, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 386, 853, 104 is 1.
Therefore, GCD of numbers 680, 386, 853, 104 is 1
Given Input Data is 680, 386, 853, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 386 is 2 x 193
Prime Factorization of 853 is 853
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(680, 386) = 131240
GCD(680, 386) = ( 680 x 386 ) / 131240
GCD(680, 386) = 262480 / 131240
GCD(680, 386) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 853) = 1706
GCD(2, 853) = ( 2 x 853 ) / 1706
GCD(2, 853) = 1706 / 1706
GCD(2, 853) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 680, 386, 853, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 386, 853, 104?
GCD of 680, 386, 853, 104 is 1
2. Where do I get the detailed procedure to find GCD of 680, 386, 853, 104?
You can find a detailed procedure to find GCD of 680, 386, 853, 104 on our page.
3. How to find GCD of 680, 386, 853, 104 on a calculator?
You can find the GCD of 680, 386, 853, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.