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 107, 437, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 437, 382 is 1
GCD(107, 437, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 437, 382 is 1
GCD(107, 437, 382) = 1
Given Input numbers are 107, 437, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 107, 437, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 437, 382 is 1.
Therefore, GCD of numbers 107, 437, 382 is 1
Given Input Data is 107, 437, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 437 is 19 x 23
Prime Factorization of 382 is 2 x 191
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(107, 437) = 46759
GCD(107, 437) = ( 107 x 437 ) / 46759
GCD(107, 437) = 46759 / 46759
GCD(107, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 107, 437, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 437, 382?
GCD of 107, 437, 382 is 1
2. Where do I get the detailed procedure to find GCD of 107, 437, 382?
You can find a detailed procedure to find GCD of 107, 437, 382 on our page.
3. How to find GCD of 107, 437, 382 on a calculator?
You can find the GCD of 107, 437, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.