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 83, 91, 16 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 91, 16 is 1
GCD(83, 91, 16) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 91, 16 is 1
GCD(83, 91, 16) = 1
Given Input numbers are 83, 91, 16
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Greatest Common Divisior
We found the divisors of 83, 91, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 91, 16 is 1.
Therefore, GCD of numbers 83, 91, 16 is 1
Given Input Data is 83, 91, 16
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 91 is 7 x 13
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(83, 91) = 7553
GCD(83, 91) = ( 83 x 91 ) / 7553
GCD(83, 91) = 7553 / 7553
GCD(83, 91) = 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
GCD of 83, 91, 16 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 91, 16?
GCD of 83, 91, 16 is 1
2. Where do I get the detailed procedure to find GCD of 83, 91, 16?
You can find a detailed procedure to find GCD of 83, 91, 16 on our page.
3. How to find GCD of 83, 91, 16 on a calculator?
You can find the GCD of 83, 91, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.