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 32, 381, 397, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 381, 397, 686 is 1
GCD(32, 381, 397, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 381, 397, 686 is 1
GCD(32, 381, 397, 686) = 1
Given Input numbers are 32, 381, 397, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 32, 381, 397, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 381, 397, 686 is 1.
Therefore, GCD of numbers 32, 381, 397, 686 is 1
Given Input Data is 32, 381, 397, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 381 is 3 x 127
Prime Factorization of 397 is 397
Prime Factorization of 686 is 2 x 7 x 7 x 7
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(32, 381) = 12192
GCD(32, 381) = ( 32 x 381 ) / 12192
GCD(32, 381) = 12192 / 12192
GCD(32, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
GCD of 32, 381, 397, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 381, 397, 686?
GCD of 32, 381, 397, 686 is 1
2. Where do I get the detailed procedure to find GCD of 32, 381, 397, 686?
You can find a detailed procedure to find GCD of 32, 381, 397, 686 on our page.
3. How to find GCD of 32, 381, 397, 686 on a calculator?
You can find the GCD of 32, 381, 397, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.