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, 495, 99, 482 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 495, 99, 482 is 1
GCD(107, 495, 99, 482) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 495, 99, 482 is 1
GCD(107, 495, 99, 482) = 1
Given Input numbers are 107, 495, 99, 482
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 107, 495, 99, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 495, 99, 482 is 1.
Therefore, GCD of numbers 107, 495, 99, 482 is 1
Given Input Data is 107, 495, 99, 482
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 482 is 2 x 241
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, 495) = 52965
GCD(107, 495) = ( 107 x 495 ) / 52965
GCD(107, 495) = 52965 / 52965
GCD(107, 495) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 482) = 482
GCD(1, 482) = ( 1 x 482 ) / 482
GCD(1, 482) = 482 / 482
GCD(1, 482) = 1
GCD of 107, 495, 99, 482 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 495, 99, 482?
GCD of 107, 495, 99, 482 is 1
2. Where do I get the detailed procedure to find GCD of 107, 495, 99, 482?
You can find a detailed procedure to find GCD of 107, 495, 99, 482 on our page.
3. How to find GCD of 107, 495, 99, 482 on a calculator?
You can find the GCD of 107, 495, 99, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.