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, 120, 11, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 120, 11, 242 is 1
GCD(936, 120, 11, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 120, 11, 242 is 1
GCD(936, 120, 11, 242) = 1
Given Input numbers are 936, 120, 11, 242
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 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 936, 120, 11, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 120, 11, 242 is 1.
Therefore, GCD of numbers 936, 120, 11, 242 is 1
Given Input Data is 936, 120, 11, 242
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 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 11 is 11
Prime Factorization of 242 is 2 x 11 x 11
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, 120) = 4680
GCD(936, 120) = ( 936 x 120 ) / 4680
GCD(936, 120) = 112320 / 4680
GCD(936, 120) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 11) = 264
GCD(24, 11) = ( 24 x 11 ) / 264
GCD(24, 11) = 264 / 264
GCD(24, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 936, 120, 11, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 120, 11, 242?
GCD of 936, 120, 11, 242 is 1
2. Where do I get the detailed procedure to find GCD of 936, 120, 11, 242?
You can find a detailed procedure to find GCD of 936, 120, 11, 242 on our page.
3. How to find GCD of 936, 120, 11, 242 on a calculator?
You can find the GCD of 936, 120, 11, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.