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, 818, 48, 162 i.e. 2 largest integer that divides all the numbers equally.
GCD of 936, 818, 48, 162 is 2
GCD(936, 818, 48, 162) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 818, 48, 162 is 2
GCD(936, 818, 48, 162) = 2
Given Input numbers are 936, 818, 48, 162
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 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 936, 818, 48, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 818, 48, 162 is 2.
Therefore, GCD of numbers 936, 818, 48, 162 is 2
Given Input Data is 936, 818, 48, 162
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 818 is 2 x 409
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 818) = 382824
GCD(936, 818) = ( 936 x 818 ) / 382824
GCD(936, 818) = 765648 / 382824
GCD(936, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
GCD(2, 162) = 324 / 162
GCD(2, 162) = 2
GCD of 936, 818, 48, 162 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 818, 48, 162?
GCD of 936, 818, 48, 162 is 2
2. Where do I get the detailed procedure to find GCD of 936, 818, 48, 162?
You can find a detailed procedure to find GCD of 936, 818, 48, 162 on our page.
3. How to find GCD of 936, 818, 48, 162 on a calculator?
You can find the GCD of 936, 818, 48, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.