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 441, 721, 21, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 721, 21, 867 is 1
GCD(441, 721, 21, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 721, 21, 867 is 1
GCD(441, 721, 21, 867) = 1
Given Input numbers are 441, 721, 21, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 441, 721, 21, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 721, 21, 867 is 1.
Therefore, GCD of numbers 441, 721, 21, 867 is 1
Given Input Data is 441, 721, 21, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 721 is 7 x 103
Prime Factorization of 21 is 3 x 7
Prime Factorization of 867 is 3 x 17 x 17
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(441, 721) = 45423
GCD(441, 721) = ( 441 x 721 ) / 45423
GCD(441, 721) = 317961 / 45423
GCD(441, 721) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 21) = 21
GCD(7, 21) = ( 7 x 21 ) / 21
GCD(7, 21) = 147 / 21
GCD(7, 21) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 867) = 6069
GCD(7, 867) = ( 7 x 867 ) / 6069
GCD(7, 867) = 6069 / 6069
GCD(7, 867) = 1
GCD of 441, 721, 21, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 721, 21, 867?
GCD of 441, 721, 21, 867 is 1
2. Where do I get the detailed procedure to find GCD of 441, 721, 21, 867?
You can find a detailed procedure to find GCD of 441, 721, 21, 867 on our page.
3. How to find GCD of 441, 721, 21, 867 on a calculator?
You can find the GCD of 441, 721, 21, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.