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 582, 438, 11, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 438, 11, 553 is 1
GCD(582, 438, 11, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 438, 11, 553 is 1
GCD(582, 438, 11, 553) = 1
Given Input numbers are 582, 438, 11, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 582, 438, 11, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 438, 11, 553 is 1.
Therefore, GCD of numbers 582, 438, 11, 553 is 1
Given Input Data is 582, 438, 11, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 11 is 11
Prime Factorization of 553 is 7 x 79
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(582, 438) = 42486
GCD(582, 438) = ( 582 x 438 ) / 42486
GCD(582, 438) = 254916 / 42486
GCD(582, 438) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 11) = 66
GCD(6, 11) = ( 6 x 11 ) / 66
GCD(6, 11) = 66 / 66
GCD(6, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 582, 438, 11, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 438, 11, 553?
GCD of 582, 438, 11, 553 is 1
2. Where do I get the detailed procedure to find GCD of 582, 438, 11, 553?
You can find a detailed procedure to find GCD of 582, 438, 11, 553 on our page.
3. How to find GCD of 582, 438, 11, 553 on a calculator?
You can find the GCD of 582, 438, 11, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.