GCD of 496, 510, 44, 736 Calculator

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

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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.