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 531, 540, 58, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 540, 58, 588 is 1
GCD(531, 540, 58, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 540, 58, 588 is 1
GCD(531, 540, 58, 588) = 1
Given Input numbers are 531, 540, 58, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 531, 540, 58, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 540, 58, 588 is 1.
Therefore, GCD of numbers 531, 540, 58, 588 is 1
Given Input Data is 531, 540, 58, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 58 is 2 x 29
Prime Factorization of 588 is 2 x 2 x 3 x 7 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(531, 540) = 31860
GCD(531, 540) = ( 531 x 540 ) / 31860
GCD(531, 540) = 286740 / 31860
GCD(531, 540) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 58) = 522
GCD(9, 58) = ( 9 x 58 ) / 522
GCD(9, 58) = 522 / 522
GCD(9, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 531, 540, 58, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 540, 58, 588?
GCD of 531, 540, 58, 588 is 1
2. Where do I get the detailed procedure to find GCD of 531, 540, 58, 588?
You can find a detailed procedure to find GCD of 531, 540, 58, 588 on our page.
3. How to find GCD of 531, 540, 58, 588 on a calculator?
You can find the GCD of 531, 540, 58, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.