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 86, 5, 16, 15 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 5, 16, 15 is 1
GCD(86, 5, 16, 15) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 5, 16, 15 is 1
GCD(86, 5, 16, 15) = 1
Given Input numbers are 86, 5, 16, 15
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 5
List of positive integer divisors of 5 that divides 5 without a remainder.
1, 5
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Greatest Common Divisior
We found the divisors of 86, 5, 16, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 5, 16, 15 is 1.
Therefore, GCD of numbers 86, 5, 16, 15 is 1
Given Input Data is 86, 5, 16, 15
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 5 is 5
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 15 is 3 x 5
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(86, 5) = 430
GCD(86, 5) = ( 86 x 5 ) / 430
GCD(86, 5) = 430 / 430
GCD(86, 5) = 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 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
GCD of 86, 5, 16, 15 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 5, 16, 15?
GCD of 86, 5, 16, 15 is 1
2. Where do I get the detailed procedure to find GCD of 86, 5, 16, 15?
You can find a detailed procedure to find GCD of 86, 5, 16, 15 on our page.
3. How to find GCD of 86, 5, 16, 15 on a calculator?
You can find the GCD of 86, 5, 16, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.