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 13, 174, 876, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 174, 876, 857 is 1
GCD(13, 174, 876, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 174, 876, 857 is 1
GCD(13, 174, 876, 857) = 1
Given Input numbers are 13, 174, 876, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 13, 174, 876, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 174, 876, 857 is 1.
Therefore, GCD of numbers 13, 174, 876, 857 is 1
Given Input Data is 13, 174, 876, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 857 is 857
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(13, 174) = 2262
GCD(13, 174) = ( 13 x 174 ) / 2262
GCD(13, 174) = 2262 / 2262
GCD(13, 174) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 13, 174, 876, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 174, 876, 857?
GCD of 13, 174, 876, 857 is 1
2. Where do I get the detailed procedure to find GCD of 13, 174, 876, 857?
You can find a detailed procedure to find GCD of 13, 174, 876, 857 on our page.
3. How to find GCD of 13, 174, 876, 857 on a calculator?
You can find the GCD of 13, 174, 876, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.