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 221, 457, 86, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 457, 86, 388 is 1
GCD(221, 457, 86, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 457, 86, 388 is 1
GCD(221, 457, 86, 388) = 1
Given Input numbers are 221, 457, 86, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 221, 457, 86, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 457, 86, 388 is 1.
Therefore, GCD of numbers 221, 457, 86, 388 is 1
Given Input Data is 221, 457, 86, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 457 is 457
Prime Factorization of 86 is 2 x 43
Prime Factorization of 388 is 2 x 2 x 97
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(221, 457) = 100997
GCD(221, 457) = ( 221 x 457 ) / 100997
GCD(221, 457) = 100997 / 100997
GCD(221, 457) = 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 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 221, 457, 86, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 457, 86, 388?
GCD of 221, 457, 86, 388 is 1
2. Where do I get the detailed procedure to find GCD of 221, 457, 86, 388?
You can find a detailed procedure to find GCD of 221, 457, 86, 388 on our page.
3. How to find GCD of 221, 457, 86, 388 on a calculator?
You can find the GCD of 221, 457, 86, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.