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, 920, 218, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 920, 218, 575 is 1
GCD(936, 920, 218, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 920, 218, 575 is 1
GCD(936, 920, 218, 575) = 1
Given Input numbers are 936, 920, 218, 575
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 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 936, 920, 218, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 920, 218, 575 is 1.
Therefore, GCD of numbers 936, 920, 218, 575 is 1
Given Input Data is 936, 920, 218, 575
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 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 218 is 2 x 109
Prime Factorization of 575 is 5 x 5 x 23
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, 920) = 107640
GCD(936, 920) = ( 936 x 920 ) / 107640
GCD(936, 920) = 861120 / 107640
GCD(936, 920) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 218) = 872
GCD(8, 218) = ( 8 x 218 ) / 872
GCD(8, 218) = 1744 / 872
GCD(8, 218) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
GCD(2, 575) = 1150 / 1150
GCD(2, 575) = 1
GCD of 936, 920, 218, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 920, 218, 575?
GCD of 936, 920, 218, 575 is 1
2. Where do I get the detailed procedure to find GCD of 936, 920, 218, 575?
You can find a detailed procedure to find GCD of 936, 920, 218, 575 on our page.
3. How to find GCD of 936, 920, 218, 575 on a calculator?
You can find the GCD of 936, 920, 218, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.