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 792, 721, 84, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 721, 84, 463 is 1
GCD(792, 721, 84, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 721, 84, 463 is 1
GCD(792, 721, 84, 463) = 1
Given Input numbers are 792, 721, 84, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 792, 721, 84, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 721, 84, 463 is 1.
Therefore, GCD of numbers 792, 721, 84, 463 is 1
Given Input Data is 792, 721, 84, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 721 is 7 x 103
Prime Factorization of 84 is 2 x 2 x 3 x 7
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(792, 721) = 571032
GCD(792, 721) = ( 792 x 721 ) / 571032
GCD(792, 721) = 571032 / 571032
GCD(792, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 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 792, 721, 84, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 721, 84, 463?
GCD of 792, 721, 84, 463 is 1
2. Where do I get the detailed procedure to find GCD of 792, 721, 84, 463?
You can find a detailed procedure to find GCD of 792, 721, 84, 463 on our page.
3. How to find GCD of 792, 721, 84, 463 on a calculator?
You can find the GCD of 792, 721, 84, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.