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, 269, 762, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 269, 762, 649 is 1
GCD(459, 269, 762, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 269, 762, 649 is 1
GCD(459, 269, 762, 649) = 1
Given Input numbers are 459, 269, 762, 649
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 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 459, 269, 762, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 269, 762, 649 is 1.
Therefore, GCD of numbers 459, 269, 762, 649 is 1
Given Input Data is 459, 269, 762, 649
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 269 is 269
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 649 is 11 x 59
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, 269) = 123471
GCD(459, 269) = ( 459 x 269 ) / 123471
GCD(459, 269) = 123471 / 123471
GCD(459, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 459, 269, 762, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 269, 762, 649?
GCD of 459, 269, 762, 649 is 1
2. Where do I get the detailed procedure to find GCD of 459, 269, 762, 649?
You can find a detailed procedure to find GCD of 459, 269, 762, 649 on our page.
3. How to find GCD of 459, 269, 762, 649 on a calculator?
You can find the GCD of 459, 269, 762, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.