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 536, 156, 484, 498 i.e. 2 largest integer that divides all the numbers equally.
GCD of 536, 156, 484, 498 is 2
GCD(536, 156, 484, 498) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 156, 484, 498 is 2
GCD(536, 156, 484, 498) = 2
Given Input numbers are 536, 156, 484, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
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
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 536, 156, 484, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 156, 484, 498 is 2.
Therefore, GCD of numbers 536, 156, 484, 498 is 2
Given Input Data is 536, 156, 484, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 498 is 2 x 3 x 83
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(536, 156) = 20904
GCD(536, 156) = ( 536 x 156 ) / 20904
GCD(536, 156) = 83616 / 20904
GCD(536, 156) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 484) = 484
GCD(4, 484) = ( 4 x 484 ) / 484
GCD(4, 484) = 1936 / 484
GCD(4, 484) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 498) = 996
GCD(4, 498) = ( 4 x 498 ) / 996
GCD(4, 498) = 1992 / 996
GCD(4, 498) = 2
GCD of 536, 156, 484, 498 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 156, 484, 498?
GCD of 536, 156, 484, 498 is 2
2. Where do I get the detailed procedure to find GCD of 536, 156, 484, 498?
You can find a detailed procedure to find GCD of 536, 156, 484, 498 on our page.
3. How to find GCD of 536, 156, 484, 498 on a calculator?
You can find the GCD of 536, 156, 484, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.