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 170, 392, 12, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 392, 12, 901 is 1
GCD(170, 392, 12, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 392, 12, 901 is 1
GCD(170, 392, 12, 901) = 1
Given Input numbers are 170, 392, 12, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 170, 392, 12, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 392, 12, 901 is 1.
Therefore, GCD of numbers 170, 392, 12, 901 is 1
Given Input Data is 170, 392, 12, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 901 is 17 x 53
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(170, 392) = 33320
GCD(170, 392) = ( 170 x 392 ) / 33320
GCD(170, 392) = 66640 / 33320
GCD(170, 392) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 901) = 1802
GCD(2, 901) = ( 2 x 901 ) / 1802
GCD(2, 901) = 1802 / 1802
GCD(2, 901) = 1
GCD of 170, 392, 12, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 392, 12, 901?
GCD of 170, 392, 12, 901 is 1
2. Where do I get the detailed procedure to find GCD of 170, 392, 12, 901?
You can find a detailed procedure to find GCD of 170, 392, 12, 901 on our page.
3. How to find GCD of 170, 392, 12, 901 on a calculator?
You can find the GCD of 170, 392, 12, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.