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 591, 178, 14, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 178, 14, 170 is 1
GCD(591, 178, 14, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 178, 14, 170 is 1
GCD(591, 178, 14, 170) = 1
Given Input numbers are 591, 178, 14, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
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 591, 178, 14, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 178, 14, 170 is 1.
Therefore, GCD of numbers 591, 178, 14, 170 is 1
Given Input Data is 591, 178, 14, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 178 is 2 x 89
Prime Factorization of 14 is 2 x 7
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(591, 178) = 105198
GCD(591, 178) = ( 591 x 178 ) / 105198
GCD(591, 178) = 105198 / 105198
GCD(591, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 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 591, 178, 14, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 178, 14, 170?
GCD of 591, 178, 14, 170 is 1
2. Where do I get the detailed procedure to find GCD of 591, 178, 14, 170?
You can find a detailed procedure to find GCD of 591, 178, 14, 170 on our page.
3. How to find GCD of 591, 178, 14, 170 on a calculator?
You can find the GCD of 591, 178, 14, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.