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 496, 510, 44, 736 i.e. 2 largest integer that divides all the numbers equally.
GCD of 496, 510, 44, 736 is 2
GCD(496, 510, 44, 736) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 510, 44, 736 is 2
GCD(496, 510, 44, 736) = 2
Given Input numbers are 496, 510, 44, 736
To find the GCD of numbers using factoring list out all the divisors of each number
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 496, 510, 44, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 510, 44, 736 is 2.
Therefore, GCD of numbers 496, 510, 44, 736 is 2
Given Input Data is 496, 510, 44, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(496, 510) = 126480
GCD(496, 510) = ( 496 x 510 ) / 126480
GCD(496, 510) = 252960 / 126480
GCD(496, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
GCD(2, 736) = 1472 / 736
GCD(2, 736) = 2
GCD of 496, 510, 44, 736 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 510, 44, 736?
GCD of 496, 510, 44, 736 is 2
2. Where do I get the detailed procedure to find GCD of 496, 510, 44, 736?
You can find a detailed procedure to find GCD of 496, 510, 44, 736 on our page.
3. How to find GCD of 496, 510, 44, 736 on a calculator?
You can find the GCD of 496, 510, 44, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.