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 276, 418, 407, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 418, 407, 231 is 1
GCD(276, 418, 407, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 418, 407, 231 is 1
GCD(276, 418, 407, 231) = 1
Given Input numbers are 276, 418, 407, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 276, 418, 407, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 418, 407, 231 is 1.
Therefore, GCD of numbers 276, 418, 407, 231 is 1
Given Input Data is 276, 418, 407, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 407 is 11 x 37
Prime Factorization of 231 is 3 x 7 x 11
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(276, 418) = 57684
GCD(276, 418) = ( 276 x 418 ) / 57684
GCD(276, 418) = 115368 / 57684
GCD(276, 418) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 276, 418, 407, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 418, 407, 231?
GCD of 276, 418, 407, 231 is 1
2. Where do I get the detailed procedure to find GCD of 276, 418, 407, 231?
You can find a detailed procedure to find GCD of 276, 418, 407, 231 on our page.
3. How to find GCD of 276, 418, 407, 231 on a calculator?
You can find the GCD of 276, 418, 407, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.