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, 760, 68, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 760, 68, 853 is 1
GCD(680, 760, 68, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 760, 68, 853 is 1
GCD(680, 760, 68, 853) = 1
Given Input numbers are 680, 760, 68, 853
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 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 680, 760, 68, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 760, 68, 853 is 1.
Therefore, GCD of numbers 680, 760, 68, 853 is 1
Given Input Data is 680, 760, 68, 853
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 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 853 is 853
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, 760) = 12920
GCD(680, 760) = ( 680 x 760 ) / 12920
GCD(680, 760) = 516800 / 12920
GCD(680, 760) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 68) = 680
GCD(40, 68) = ( 40 x 68 ) / 680
GCD(40, 68) = 2720 / 680
GCD(40, 68) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 853) = 3412
GCD(4, 853) = ( 4 x 853 ) / 3412
GCD(4, 853) = 3412 / 3412
GCD(4, 853) = 1
GCD of 680, 760, 68, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 760, 68, 853?
GCD of 680, 760, 68, 853 is 1
2. Where do I get the detailed procedure to find GCD of 680, 760, 68, 853?
You can find a detailed procedure to find GCD of 680, 760, 68, 853 on our page.
3. How to find GCD of 680, 760, 68, 853 on a calculator?
You can find the GCD of 680, 760, 68, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.