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 576, 558, 36, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 558, 36, 757 is 1
GCD(576, 558, 36, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 558, 36, 757 is 1
GCD(576, 558, 36, 757) = 1
Given Input numbers are 576, 558, 36, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 576, 558, 36, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 558, 36, 757 is 1.
Therefore, GCD of numbers 576, 558, 36, 757 is 1
Given Input Data is 576, 558, 36, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 757 is 757
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(576, 558) = 17856
GCD(576, 558) = ( 576 x 558 ) / 17856
GCD(576, 558) = 321408 / 17856
GCD(576, 558) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 36) = 36
GCD(18, 36) = ( 18 x 36 ) / 36
GCD(18, 36) = 648 / 36
GCD(18, 36) = 18
Step3:
Here we consider the GCD from the above i.e. 18 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 757) = 13626
GCD(18, 757) = ( 18 x 757 ) / 13626
GCD(18, 757) = 13626 / 13626
GCD(18, 757) = 1
GCD of 576, 558, 36, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 558, 36, 757?
GCD of 576, 558, 36, 757 is 1
2. Where do I get the detailed procedure to find GCD of 576, 558, 36, 757?
You can find a detailed procedure to find GCD of 576, 558, 36, 757 on our page.
3. How to find GCD of 576, 558, 36, 757 on a calculator?
You can find the GCD of 576, 558, 36, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.