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 106, 615, 16, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 615, 16, 273 is 1
GCD(106, 615, 16, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 615, 16, 273 is 1
GCD(106, 615, 16, 273) = 1
Given Input numbers are 106, 615, 16, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 106, 615, 16, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 615, 16, 273 is 1.
Therefore, GCD of numbers 106, 615, 16, 273 is 1
Given Input Data is 106, 615, 16, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 273 is 3 x 7 x 13
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(106, 615) = 65190
GCD(106, 615) = ( 106 x 615 ) / 65190
GCD(106, 615) = 65190 / 65190
GCD(106, 615) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
GCD of 106, 615, 16, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 615, 16, 273?
GCD of 106, 615, 16, 273 is 1
2. Where do I get the detailed procedure to find GCD of 106, 615, 16, 273?
You can find a detailed procedure to find GCD of 106, 615, 16, 273 on our page.
3. How to find GCD of 106, 615, 16, 273 on a calculator?
You can find the GCD of 106, 615, 16, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.