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 765, 133, 704, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 133, 704, 463 is 1
GCD(765, 133, 704, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 133, 704, 463 is 1
GCD(765, 133, 704, 463) = 1
Given Input numbers are 765, 133, 704, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 765, 133, 704, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 133, 704, 463 is 1.
Therefore, GCD of numbers 765, 133, 704, 463 is 1
Given Input Data is 765, 133, 704, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 133 is 7 x 19
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 463 is 463
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(765, 133) = 101745
GCD(765, 133) = ( 765 x 133 ) / 101745
GCD(765, 133) = 101745 / 101745
GCD(765, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 765, 133, 704, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 133, 704, 463?
GCD of 765, 133, 704, 463 is 1
2. Where do I get the detailed procedure to find GCD of 765, 133, 704, 463?
You can find a detailed procedure to find GCD of 765, 133, 704, 463 on our page.
3. How to find GCD of 765, 133, 704, 463 on a calculator?
You can find the GCD of 765, 133, 704, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.