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 685, 870, 860, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 870, 860, 613 is 1
GCD(685, 870, 860, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 870, 860, 613 is 1
GCD(685, 870, 860, 613) = 1
Given Input numbers are 685, 870, 860, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 685, 870, 860, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 870, 860, 613 is 1.
Therefore, GCD of numbers 685, 870, 860, 613 is 1
Given Input Data is 685, 870, 860, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 613 is 613
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(685, 870) = 119190
GCD(685, 870) = ( 685 x 870 ) / 119190
GCD(685, 870) = 595950 / 119190
GCD(685, 870) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 860) = 860
GCD(5, 860) = ( 5 x 860 ) / 860
GCD(5, 860) = 4300 / 860
GCD(5, 860) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 613) = 3065
GCD(5, 613) = ( 5 x 613 ) / 3065
GCD(5, 613) = 3065 / 3065
GCD(5, 613) = 1
GCD of 685, 870, 860, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 870, 860, 613?
GCD of 685, 870, 860, 613 is 1
2. Where do I get the detailed procedure to find GCD of 685, 870, 860, 613?
You can find a detailed procedure to find GCD of 685, 870, 860, 613 on our page.
3. How to find GCD of 685, 870, 860, 613 on a calculator?
You can find the GCD of 685, 870, 860, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.