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, 556, 516, 124 i.e. 4 largest integer that divides all the numbers equally.
GCD of 936, 556, 516, 124 is 4
GCD(936, 556, 516, 124) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 556, 516, 124 is 4
GCD(936, 556, 516, 124) = 4
Given Input numbers are 936, 556, 516, 124
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 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 936, 556, 516, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 556, 516, 124 is 4.
Therefore, GCD of numbers 936, 556, 516, 124 is 4
Given Input Data is 936, 556, 516, 124
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 556 is 2 x 2 x 139
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 124 is 2 x 2 x 31
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(936, 556) = 130104
GCD(936, 556) = ( 936 x 556 ) / 130104
GCD(936, 556) = 520416 / 130104
GCD(936, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 516) = 516
GCD(4, 516) = ( 4 x 516 ) / 516
GCD(4, 516) = 2064 / 516
GCD(4, 516) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 124) = 124
GCD(4, 124) = ( 4 x 124 ) / 124
GCD(4, 124) = 496 / 124
GCD(4, 124) = 4
GCD of 936, 556, 516, 124 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 556, 516, 124?
GCD of 936, 556, 516, 124 is 4
2. Where do I get the detailed procedure to find GCD of 936, 556, 516, 124?
You can find a detailed procedure to find GCD of 936, 556, 516, 124 on our page.
3. How to find GCD of 936, 556, 516, 124 on a calculator?
You can find the GCD of 936, 556, 516, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.