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, 135, 739, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 135, 739, 540 is 1
GCD(582, 135, 739, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 135, 739, 540 is 1
GCD(582, 135, 739, 540) = 1
Given Input numbers are 582, 135, 739, 540
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
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
Greatest Common Divisior
We found the divisors of 582, 135, 739, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 135, 739, 540 is 1.
Therefore, GCD of numbers 582, 135, 739, 540 is 1
Given Input Data is 582, 135, 739, 540
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 135 is 3 x 3 x 3 x 5
Prime Factorization of 739 is 739
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
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, 135) = 26190
GCD(582, 135) = ( 582 x 135 ) / 26190
GCD(582, 135) = 78570 / 26190
GCD(582, 135) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 739) = 2217
GCD(3, 739) = ( 3 x 739 ) / 2217
GCD(3, 739) = 2217 / 2217
GCD(3, 739) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 582, 135, 739, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 135, 739, 540?
GCD of 582, 135, 739, 540 is 1
2. Where do I get the detailed procedure to find GCD of 582, 135, 739, 540?
You can find a detailed procedure to find GCD of 582, 135, 739, 540 on our page.
3. How to find GCD of 582, 135, 739, 540 on a calculator?
You can find the GCD of 582, 135, 739, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.