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 111, 272, 86, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 272, 86, 395 is 1
GCD(111, 272, 86, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 272, 86, 395 is 1
GCD(111, 272, 86, 395) = 1
Given Input numbers are 111, 272, 86, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 111, 272, 86, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 272, 86, 395 is 1.
Therefore, GCD of numbers 111, 272, 86, 395 is 1
Given Input Data is 111, 272, 86, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 86 is 2 x 43
Prime Factorization of 395 is 5 x 79
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(111, 272) = 30192
GCD(111, 272) = ( 111 x 272 ) / 30192
GCD(111, 272) = 30192 / 30192
GCD(111, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 111, 272, 86, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 272, 86, 395?
GCD of 111, 272, 86, 395 is 1
2. Where do I get the detailed procedure to find GCD of 111, 272, 86, 395?
You can find a detailed procedure to find GCD of 111, 272, 86, 395 on our page.
3. How to find GCD of 111, 272, 86, 395 on a calculator?
You can find the GCD of 111, 272, 86, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.