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 259, 481, 39, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 481, 39, 762 is 1
GCD(259, 481, 39, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 481, 39, 762 is 1
GCD(259, 481, 39, 762) = 1
Given Input numbers are 259, 481, 39, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 259, 481, 39, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 481, 39, 762 is 1.
Therefore, GCD of numbers 259, 481, 39, 762 is 1
Given Input Data is 259, 481, 39, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 481 is 13 x 37
Prime Factorization of 39 is 3 x 13
Prime Factorization of 762 is 2 x 3 x 127
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(259, 481) = 3367
GCD(259, 481) = ( 259 x 481 ) / 3367
GCD(259, 481) = 124579 / 3367
GCD(259, 481) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 39) = 1443
GCD(37, 39) = ( 37 x 39 ) / 1443
GCD(37, 39) = 1443 / 1443
GCD(37, 39) = 1
Step3:
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
GCD of 259, 481, 39, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 481, 39, 762?
GCD of 259, 481, 39, 762 is 1
2. Where do I get the detailed procedure to find GCD of 259, 481, 39, 762?
You can find a detailed procedure to find GCD of 259, 481, 39, 762 on our page.
3. How to find GCD of 259, 481, 39, 762 on a calculator?
You can find the GCD of 259, 481, 39, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.