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 543, 720, 28, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 720, 28, 587 is 1
GCD(543, 720, 28, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 720, 28, 587 is 1
GCD(543, 720, 28, 587) = 1
Given Input numbers are 543, 720, 28, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 543, 720, 28, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 720, 28, 587 is 1.
Therefore, GCD of numbers 543, 720, 28, 587 is 1
Given Input Data is 543, 720, 28, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 587 is 587
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(543, 720) = 130320
GCD(543, 720) = ( 543 x 720 ) / 130320
GCD(543, 720) = 390960 / 130320
GCD(543, 720) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 28) = 84
GCD(3, 28) = ( 3 x 28 ) / 84
GCD(3, 28) = 84 / 84
GCD(3, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 543, 720, 28, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 720, 28, 587?
GCD of 543, 720, 28, 587 is 1
2. Where do I get the detailed procedure to find GCD of 543, 720, 28, 587?
You can find a detailed procedure to find GCD of 543, 720, 28, 587 on our page.
3. How to find GCD of 543, 720, 28, 587 on a calculator?
You can find the GCD of 543, 720, 28, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.