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, 485, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 485, 51 is 1
GCD(109, 485, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 485, 51 is 1
GCD(109, 485, 51) = 1
Given Input numbers are 109, 485, 51
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 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 109, 485, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 485, 51 is 1.
Therefore, GCD of numbers 109, 485, 51 is 1
Given Input Data is 109, 485, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 485 is 5 x 97
Prime Factorization of 51 is 3 x 17
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, 485) = 52865
GCD(109, 485) = ( 109 x 485 ) / 52865
GCD(109, 485) = 52865 / 52865
GCD(109, 485) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
GCD of 109, 485, 51 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 485, 51?
GCD of 109, 485, 51 is 1
2. Where do I get the detailed procedure to find GCD of 109, 485, 51?
You can find a detailed procedure to find GCD of 109, 485, 51 on our page.
3. How to find GCD of 109, 485, 51 on a calculator?
You can find the GCD of 109, 485, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.