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 56, 710, 576, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 710, 576, 393 is 1
GCD(56, 710, 576, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 710, 576, 393 is 1
GCD(56, 710, 576, 393) = 1
Given Input numbers are 56, 710, 576, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 56, 710, 576, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 710, 576, 393 is 1.
Therefore, GCD of numbers 56, 710, 576, 393 is 1
Given Input Data is 56, 710, 576, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 393 is 3 x 131
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(56, 710) = 19880
GCD(56, 710) = ( 56 x 710 ) / 19880
GCD(56, 710) = 39760 / 19880
GCD(56, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
GCD(2, 576) = 1152 / 576
GCD(2, 576) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 393) = 786
GCD(2, 393) = ( 2 x 393 ) / 786
GCD(2, 393) = 786 / 786
GCD(2, 393) = 1
GCD of 56, 710, 576, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 710, 576, 393?
GCD of 56, 710, 576, 393 is 1
2. Where do I get the detailed procedure to find GCD of 56, 710, 576, 393?
You can find a detailed procedure to find GCD of 56, 710, 576, 393 on our page.
3. How to find GCD of 56, 710, 576, 393 on a calculator?
You can find the GCD of 56, 710, 576, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.