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 538, 553, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 553, 936 is 1
GCD(538, 553, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 553, 936 is 1
GCD(538, 553, 936) = 1
Given Input numbers are 538, 553, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 538, 553, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 553, 936 is 1.
Therefore, GCD of numbers 538, 553, 936 is 1
Given Input Data is 538, 553, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 553 is 7 x 79
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(538, 553) = 297514
GCD(538, 553) = ( 538 x 553 ) / 297514
GCD(538, 553) = 297514 / 297514
GCD(538, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 538, 553, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 553, 936?
GCD of 538, 553, 936 is 1
2. Where do I get the detailed procedure to find GCD of 538, 553, 936?
You can find a detailed procedure to find GCD of 538, 553, 936 on our page.
3. How to find GCD of 538, 553, 936 on a calculator?
You can find the GCD of 538, 553, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.