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, 278, 346, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 278, 346, 156 is 1
GCD(381, 278, 346, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 278, 346, 156 is 1
GCD(381, 278, 346, 156) = 1
Given Input numbers are 381, 278, 346, 156
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 381, 278, 346, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 278, 346, 156 is 1.
Therefore, GCD of numbers 381, 278, 346, 156 is 1
Given Input Data is 381, 278, 346, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 278 is 2 x 139
Prime Factorization of 346 is 2 x 173
Prime Factorization of 156 is 2 x 2 x 3 x 13
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, 278) = 105918
GCD(381, 278) = ( 381 x 278 ) / 105918
GCD(381, 278) = 105918 / 105918
GCD(381, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 381, 278, 346, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 278, 346, 156?
GCD of 381, 278, 346, 156 is 1
2. Where do I get the detailed procedure to find GCD of 381, 278, 346, 156?
You can find a detailed procedure to find GCD of 381, 278, 346, 156 on our page.
3. How to find GCD of 381, 278, 346, 156 on a calculator?
You can find the GCD of 381, 278, 346, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.