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 231, 289, 21, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 289, 21, 340 is 1
GCD(231, 289, 21, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 289, 21, 340 is 1
GCD(231, 289, 21, 340) = 1
Given Input numbers are 231, 289, 21, 340
To find the GCD of numbers using factoring list out all the divisors of each number
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 231, 289, 21, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 289, 21, 340 is 1.
Therefore, GCD of numbers 231, 289, 21, 340 is 1
Given Input Data is 231, 289, 21, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 289 is 17 x 17
Prime Factorization of 21 is 3 x 7
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(231, 289) = 66759
GCD(231, 289) = ( 231 x 289 ) / 66759
GCD(231, 289) = 66759 / 66759
GCD(231, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 231, 289, 21, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 289, 21, 340?
GCD of 231, 289, 21, 340 is 1
2. Where do I get the detailed procedure to find GCD of 231, 289, 21, 340?
You can find a detailed procedure to find GCD of 231, 289, 21, 340 on our page.
3. How to find GCD of 231, 289, 21, 340 on a calculator?
You can find the GCD of 231, 289, 21, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.