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 356, 381, 752, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 381, 752, 856 is 1
GCD(356, 381, 752, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 381, 752, 856 is 1
GCD(356, 381, 752, 856) = 1
Given Input numbers are 356, 381, 752, 856
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 356, 381, 752, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 381, 752, 856 is 1.
Therefore, GCD of numbers 356, 381, 752, 856 is 1
Given Input Data is 356, 381, 752, 856
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 381 is 3 x 127
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 856 is 2 x 2 x 2 x 107
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(356, 381) = 135636
GCD(356, 381) = ( 356 x 381 ) / 135636
GCD(356, 381) = 135636 / 135636
GCD(356, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 356, 381, 752, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 381, 752, 856?
GCD of 356, 381, 752, 856 is 1
2. Where do I get the detailed procedure to find GCD of 356, 381, 752, 856?
You can find a detailed procedure to find GCD of 356, 381, 752, 856 on our page.
3. How to find GCD of 356, 381, 752, 856 on a calculator?
You can find the GCD of 356, 381, 752, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.