GCD of 498, 644, 27, 736 Calculator

Given Input numbers are 498, 644, 27, 736

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 498, 644, 27, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 644, 27, 736 is 1.

Therefore, GCD of numbers 498, 644, 27, 736 is 1

Given Input Data is 498, 644, 27, 736

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(498, 644) = 160356

GCD(498, 644) = ( 498 x 644 ) / 160356

GCD(498, 644) = 320712 / 160356

GCD(498, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 498, 644, 27, 736 is 1

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1. What is the GCD of 498, 644, 27, 736?

GCD of 498, 644, 27, 736 is 1

2. Where do I get the detailed procedure to find GCD of 498, 644, 27, 736?

You can find a detailed procedure to find GCD of 498, 644, 27, 736 on our page.

3. How to find GCD of 498, 644, 27, 736 on a calculator?

You can find the GCD of 498, 644, 27, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.