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 175, 895, 13, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 895, 13, 682 is 1
GCD(175, 895, 13, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 895, 13, 682 is 1
GCD(175, 895, 13, 682) = 1
Given Input numbers are 175, 895, 13, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 175, 895, 13, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 895, 13, 682 is 1.
Therefore, GCD of numbers 175, 895, 13, 682 is 1
Given Input Data is 175, 895, 13, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 895 is 5 x 179
Prime Factorization of 13 is 13
Prime Factorization of 682 is 2 x 11 x 31
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(175, 895) = 31325
GCD(175, 895) = ( 175 x 895 ) / 31325
GCD(175, 895) = 156625 / 31325
GCD(175, 895) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 13) = 65
GCD(5, 13) = ( 5 x 13 ) / 65
GCD(5, 13) = 65 / 65
GCD(5, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 175, 895, 13, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 895, 13, 682?
GCD of 175, 895, 13, 682 is 1
2. Where do I get the detailed procedure to find GCD of 175, 895, 13, 682?
You can find a detailed procedure to find GCD of 175, 895, 13, 682 on our page.
3. How to find GCD of 175, 895, 13, 682 on a calculator?
You can find the GCD of 175, 895, 13, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.