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 77, 330, 419, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 330, 419, 804 is 1
GCD(77, 330, 419, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 330, 419, 804 is 1
GCD(77, 330, 419, 804) = 1
Given Input numbers are 77, 330, 419, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 77, 330, 419, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 330, 419, 804 is 1.
Therefore, GCD of numbers 77, 330, 419, 804 is 1
Given Input Data is 77, 330, 419, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 419 is 419
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(77, 330) = 2310
GCD(77, 330) = ( 77 x 330 ) / 2310
GCD(77, 330) = 25410 / 2310
GCD(77, 330) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 419) = 4609
GCD(11, 419) = ( 11 x 419 ) / 4609
GCD(11, 419) = 4609 / 4609
GCD(11, 419) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 77, 330, 419, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 330, 419, 804?
GCD of 77, 330, 419, 804 is 1
2. Where do I get the detailed procedure to find GCD of 77, 330, 419, 804?
You can find a detailed procedure to find GCD of 77, 330, 419, 804 on our page.
3. How to find GCD of 77, 330, 419, 804 on a calculator?
You can find the GCD of 77, 330, 419, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.