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 936, 727, 312, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 727, 312, 574 is 1
GCD(936, 727, 312, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 727, 312, 574 is 1
GCD(936, 727, 312, 574) = 1
Given Input numbers are 936, 727, 312, 574
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 936, 727, 312, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 727, 312, 574 is 1.
Therefore, GCD of numbers 936, 727, 312, 574 is 1
Given Input Data is 936, 727, 312, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 727 is 727
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 574 is 2 x 7 x 41
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(936, 727) = 680472
GCD(936, 727) = ( 936 x 727 ) / 680472
GCD(936, 727) = 680472 / 680472
GCD(936, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 936, 727, 312, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 727, 312, 574?
GCD of 936, 727, 312, 574 is 1
2. Where do I get the detailed procedure to find GCD of 936, 727, 312, 574?
You can find a detailed procedure to find GCD of 936, 727, 312, 574 on our page.
3. How to find GCD of 936, 727, 312, 574 on a calculator?
You can find the GCD of 936, 727, 312, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.