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 995, 686, 713, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 995, 686, 713, 170 is 1
GCD(995, 686, 713, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 995, 686, 713, 170 is 1
GCD(995, 686, 713, 170) = 1
Given Input numbers are 995, 686, 713, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 995, 686, 713, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 686, 713, 170 is 1.
Therefore, GCD of numbers 995, 686, 713, 170 is 1
Given Input Data is 995, 686, 713, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 995 is 5 x 199
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 713 is 23 x 31
Prime Factorization of 170 is 2 x 5 x 17
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(995, 686) = 682570
GCD(995, 686) = ( 995 x 686 ) / 682570
GCD(995, 686) = 682570 / 682570
GCD(995, 686) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 995, 686, 713, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 995, 686, 713, 170?
GCD of 995, 686, 713, 170 is 1
2. Where do I get the detailed procedure to find GCD of 995, 686, 713, 170?
You can find a detailed procedure to find GCD of 995, 686, 713, 170 on our page.
3. How to find GCD of 995, 686, 713, 170 on a calculator?
You can find the GCD of 995, 686, 713, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.