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 14, 234, 293, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 234, 293, 565 is 1
GCD(14, 234, 293, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 234, 293, 565 is 1
GCD(14, 234, 293, 565) = 1
Given Input numbers are 14, 234, 293, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 14, 234, 293, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 234, 293, 565 is 1.
Therefore, GCD of numbers 14, 234, 293, 565 is 1
Given Input Data is 14, 234, 293, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 293 is 293
Prime Factorization of 565 is 5 x 113
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(14, 234) = 1638
GCD(14, 234) = ( 14 x 234 ) / 1638
GCD(14, 234) = 3276 / 1638
GCD(14, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 293) = 586
GCD(2, 293) = ( 2 x 293 ) / 586
GCD(2, 293) = 586 / 586
GCD(2, 293) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 14, 234, 293, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 234, 293, 565?
GCD of 14, 234, 293, 565 is 1
2. Where do I get the detailed procedure to find GCD of 14, 234, 293, 565?
You can find a detailed procedure to find GCD of 14, 234, 293, 565 on our page.
3. How to find GCD of 14, 234, 293, 565 on a calculator?
You can find the GCD of 14, 234, 293, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.