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 21, 464, 723, 246 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 464, 723, 246 is 1
GCD(21, 464, 723, 246) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 464, 723, 246 is 1
GCD(21, 464, 723, 246) = 1
Given Input numbers are 21, 464, 723, 246
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 21, 464, 723, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 464, 723, 246 is 1.
Therefore, GCD of numbers 21, 464, 723, 246 is 1
Given Input Data is 21, 464, 723, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 723 is 3 x 241
Prime Factorization of 246 is 2 x 3 x 41
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(21, 464) = 9744
GCD(21, 464) = ( 21 x 464 ) / 9744
GCD(21, 464) = 9744 / 9744
GCD(21, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 246) = 246
GCD(1, 246) = ( 1 x 246 ) / 246
GCD(1, 246) = 246 / 246
GCD(1, 246) = 1
GCD of 21, 464, 723, 246 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 464, 723, 246?
GCD of 21, 464, 723, 246 is 1
2. Where do I get the detailed procedure to find GCD of 21, 464, 723, 246?
You can find a detailed procedure to find GCD of 21, 464, 723, 246 on our page.
3. How to find GCD of 21, 464, 723, 246 on a calculator?
You can find the GCD of 21, 464, 723, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.