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 51, 231, 358, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 231, 358, 215 is 1
GCD(51, 231, 358, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 231, 358, 215 is 1
GCD(51, 231, 358, 215) = 1
Given Input numbers are 51, 231, 358, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 51, 231, 358, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 231, 358, 215 is 1.
Therefore, GCD of numbers 51, 231, 358, 215 is 1
Given Input Data is 51, 231, 358, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 358 is 2 x 179
Prime Factorization of 215 is 5 x 43
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(51, 231) = 3927
GCD(51, 231) = ( 51 x 231 ) / 3927
GCD(51, 231) = 11781 / 3927
GCD(51, 231) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 358) = 1074
GCD(3, 358) = ( 3 x 358 ) / 1074
GCD(3, 358) = 1074 / 1074
GCD(3, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 51, 231, 358, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 231, 358, 215?
GCD of 51, 231, 358, 215 is 1
2. Where do I get the detailed procedure to find GCD of 51, 231, 358, 215?
You can find a detailed procedure to find GCD of 51, 231, 358, 215 on our page.
3. How to find GCD of 51, 231, 358, 215 on a calculator?
You can find the GCD of 51, 231, 358, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.