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 538, 110, 667, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 110, 667, 306 is 1
GCD(538, 110, 667, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 110, 667, 306 is 1
GCD(538, 110, 667, 306) = 1
Given Input numbers are 538, 110, 667, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 538, 110, 667, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 110, 667, 306 is 1.
Therefore, GCD of numbers 538, 110, 667, 306 is 1
Given Input Data is 538, 110, 667, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 667 is 23 x 29
Prime Factorization of 306 is 2 x 3 x 3 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(538, 110) = 29590
GCD(538, 110) = ( 538 x 110 ) / 29590
GCD(538, 110) = 59180 / 29590
GCD(538, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
GCD(2, 667) = 1334 / 1334
GCD(2, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 538, 110, 667, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 110, 667, 306?
GCD of 538, 110, 667, 306 is 1
2. Where do I get the detailed procedure to find GCD of 538, 110, 667, 306?
You can find a detailed procedure to find GCD of 538, 110, 667, 306 on our page.
3. How to find GCD of 538, 110, 667, 306 on a calculator?
You can find the GCD of 538, 110, 667, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.