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 721, 561, 57, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 561, 57, 336 is 1
GCD(721, 561, 57, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 561, 57, 336 is 1
GCD(721, 561, 57, 336) = 1
Given Input numbers are 721, 561, 57, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 721, 561, 57, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 561, 57, 336 is 1.
Therefore, GCD of numbers 721, 561, 57, 336 is 1
Given Input Data is 721, 561, 57, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 57 is 3 x 19
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(721, 561) = 404481
GCD(721, 561) = ( 721 x 561 ) / 404481
GCD(721, 561) = 404481 / 404481
GCD(721, 561) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 721, 561, 57, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 561, 57, 336?
GCD of 721, 561, 57, 336 is 1
2. Where do I get the detailed procedure to find GCD of 721, 561, 57, 336?
You can find a detailed procedure to find GCD of 721, 561, 57, 336 on our page.
3. How to find GCD of 721, 561, 57, 336 on a calculator?
You can find the GCD of 721, 561, 57, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.