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 14, 161, 962, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 161, 962, 166 is 1
GCD(14, 161, 962, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 161, 962, 166 is 1
GCD(14, 161, 962, 166) = 1
Given Input numbers are 14, 161, 962, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 14, 161, 962, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 161, 962, 166 is 1.
Therefore, GCD of numbers 14, 161, 962, 166 is 1
Given Input Data is 14, 161, 962, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 161 is 7 x 23
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 166 is 2 x 83
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(14, 161) = 322
GCD(14, 161) = ( 14 x 161 ) / 322
GCD(14, 161) = 2254 / 322
GCD(14, 161) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 962) = 6734
GCD(7, 962) = ( 7 x 962 ) / 6734
GCD(7, 962) = 6734 / 6734
GCD(7, 962) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 14, 161, 962, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 161, 962, 166?
GCD of 14, 161, 962, 166 is 1
2. Where do I get the detailed procedure to find GCD of 14, 161, 962, 166?
You can find a detailed procedure to find GCD of 14, 161, 962, 166 on our page.
3. How to find GCD of 14, 161, 962, 166 on a calculator?
You can find the GCD of 14, 161, 962, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.