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 32, 530, 496, 616 i.e. 2 largest integer that divides all the numbers equally.
GCD of 32, 530, 496, 616 is 2
GCD(32, 530, 496, 616) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 530, 496, 616 is 2
GCD(32, 530, 496, 616) = 2
Given Input numbers are 32, 530, 496, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 32, 530, 496, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 530, 496, 616 is 2.
Therefore, GCD of numbers 32, 530, 496, 616 is 2
Given Input Data is 32, 530, 496, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(32, 530) = 8480
GCD(32, 530) = ( 32 x 530 ) / 8480
GCD(32, 530) = 16960 / 8480
GCD(32, 530) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
GCD(2, 496) = 992 / 496
GCD(2, 496) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
GCD(2, 616) = 1232 / 616
GCD(2, 616) = 2
GCD of 32, 530, 496, 616 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 530, 496, 616?
GCD of 32, 530, 496, 616 is 2
2. Where do I get the detailed procedure to find GCD of 32, 530, 496, 616?
You can find a detailed procedure to find GCD of 32, 530, 496, 616 on our page.
3. How to find GCD of 32, 530, 496, 616 on a calculator?
You can find the GCD of 32, 530, 496, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.