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 459, 714, 27, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 714, 27, 748 is 1
GCD(459, 714, 27, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 714, 27, 748 is 1
GCD(459, 714, 27, 748) = 1
Given Input numbers are 459, 714, 27, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 459, 714, 27, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 714, 27, 748 is 1.
Therefore, GCD of numbers 459, 714, 27, 748 is 1
Given Input Data is 459, 714, 27, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 748 is 2 x 2 x 11 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(459, 714) = 6426
GCD(459, 714) = ( 459 x 714 ) / 6426
GCD(459, 714) = 327726 / 6426
GCD(459, 714) = 51
Step2:
Here we consider the GCD from the above i.e. 51 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(51, 27) = 459
GCD(51, 27) = ( 51 x 27 ) / 459
GCD(51, 27) = 1377 / 459
GCD(51, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 748) = 2244
GCD(3, 748) = ( 3 x 748 ) / 2244
GCD(3, 748) = 2244 / 2244
GCD(3, 748) = 1
GCD of 459, 714, 27, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 714, 27, 748?
GCD of 459, 714, 27, 748 is 1
2. Where do I get the detailed procedure to find GCD of 459, 714, 27, 748?
You can find a detailed procedure to find GCD of 459, 714, 27, 748 on our page.
3. How to find GCD of 459, 714, 27, 748 on a calculator?
You can find the GCD of 459, 714, 27, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.