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 592, 440, 156 i.e. 4 largest integer that divides all the numbers equally.
GCD of 592, 440, 156 is 4
GCD(592, 440, 156) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 440, 156 is 4
GCD(592, 440, 156) = 4
Given Input numbers are 592, 440, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 592, 440, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 440, 156 is 4.
Therefore, GCD of numbers 592, 440, 156 is 4
Given Input Data is 592, 440, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(592, 440) = 32560
GCD(592, 440) = ( 592 x 440 ) / 32560
GCD(592, 440) = 260480 / 32560
GCD(592, 440) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 156) = 312
GCD(8, 156) = ( 8 x 156 ) / 312
GCD(8, 156) = 1248 / 312
GCD(8, 156) = 4
GCD of 592, 440, 156 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 440, 156?
GCD of 592, 440, 156 is 4
2. Where do I get the detailed procedure to find GCD of 592, 440, 156?
You can find a detailed procedure to find GCD of 592, 440, 156 on our page.
3. How to find GCD of 592, 440, 156 on a calculator?
You can find the GCD of 592, 440, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.