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 188, 324, 96, 536 i.e. 4 largest integer that divides all the numbers equally.
GCD of 188, 324, 96, 536 is 4
GCD(188, 324, 96, 536) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 324, 96, 536 is 4
GCD(188, 324, 96, 536) = 4
Given Input numbers are 188, 324, 96, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 188, 324, 96, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 324, 96, 536 is 4.
Therefore, GCD of numbers 188, 324, 96, 536 is 4
Given Input Data is 188, 324, 96, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 536 is 2 x 2 x 2 x 67
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(188, 324) = 15228
GCD(188, 324) = ( 188 x 324 ) / 15228
GCD(188, 324) = 60912 / 15228
GCD(188, 324) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 536) = 536
GCD(4, 536) = ( 4 x 536 ) / 536
GCD(4, 536) = 2144 / 536
GCD(4, 536) = 4
GCD of 188, 324, 96, 536 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 324, 96, 536?
GCD of 188, 324, 96, 536 is 4
2. Where do I get the detailed procedure to find GCD of 188, 324, 96, 536?
You can find a detailed procedure to find GCD of 188, 324, 96, 536 on our page.
3. How to find GCD of 188, 324, 96, 536 on a calculator?
You can find the GCD of 188, 324, 96, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.