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 711, 147, 593, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 147, 593, 442 is 1
GCD(711, 147, 593, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 147, 593, 442 is 1
GCD(711, 147, 593, 442) = 1
Given Input numbers are 711, 147, 593, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 711, 147, 593, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 147, 593, 442 is 1.
Therefore, GCD of numbers 711, 147, 593, 442 is 1
Given Input Data is 711, 147, 593, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 593 is 593
Prime Factorization of 442 is 2 x 13 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(711, 147) = 34839
GCD(711, 147) = ( 711 x 147 ) / 34839
GCD(711, 147) = 104517 / 34839
GCD(711, 147) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 593) = 1779
GCD(3, 593) = ( 3 x 593 ) / 1779
GCD(3, 593) = 1779 / 1779
GCD(3, 593) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 711, 147, 593, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 147, 593, 442?
GCD of 711, 147, 593, 442 is 1
2. Where do I get the detailed procedure to find GCD of 711, 147, 593, 442?
You can find a detailed procedure to find GCD of 711, 147, 593, 442 on our page.
3. How to find GCD of 711, 147, 593, 442 on a calculator?
You can find the GCD of 711, 147, 593, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.