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 381, 434, 351, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 434, 351, 166 is 1
GCD(381, 434, 351, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 434, 351, 166 is 1
GCD(381, 434, 351, 166) = 1
Given Input numbers are 381, 434, 351, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
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 381, 434, 351, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 434, 351, 166 is 1.
Therefore, GCD of numbers 381, 434, 351, 166 is 1
Given Input Data is 381, 434, 351, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(381, 434) = 165354
GCD(381, 434) = ( 381 x 434 ) / 165354
GCD(381, 434) = 165354 / 165354
GCD(381, 434) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 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 381, 434, 351, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 434, 351, 166?
GCD of 381, 434, 351, 166 is 1
2. Where do I get the detailed procedure to find GCD of 381, 434, 351, 166?
You can find a detailed procedure to find GCD of 381, 434, 351, 166 on our page.
3. How to find GCD of 381, 434, 351, 166 on a calculator?
You can find the GCD of 381, 434, 351, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.