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 109, 151, 685, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 151, 685, 382 is 1
GCD(109, 151, 685, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 151, 685, 382 is 1
GCD(109, 151, 685, 382) = 1
Given Input numbers are 109, 151, 685, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
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 109, 151, 685, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 151, 685, 382 is 1.
Therefore, GCD of numbers 109, 151, 685, 382 is 1
Given Input Data is 109, 151, 685, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 151 is 151
Prime Factorization of 685 is 5 x 137
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(109, 151) = 16459
GCD(109, 151) = ( 109 x 151 ) / 16459
GCD(109, 151) = 16459 / 16459
GCD(109, 151) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
Step3:
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 109, 151, 685, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 151, 685, 382?
GCD of 109, 151, 685, 382 is 1
2. Where do I get the detailed procedure to find GCD of 109, 151, 685, 382?
You can find a detailed procedure to find GCD of 109, 151, 685, 382 on our page.
3. How to find GCD of 109, 151, 685, 382 on a calculator?
You can find the GCD of 109, 151, 685, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.