GCD of 496, 638, 65, 596 Calculator

Given Input numbers are 496, 638, 65, 596

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 496, 638, 65, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 638, 65, 596 is 1.

Therefore, GCD of numbers 496, 638, 65, 596 is 1

Given Input Data is 496, 638, 65, 596

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 638 is 2 x 11 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 596 is 2 x 2 x 149

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(496, 638) = 158224

GCD(496, 638) = ( 496 x 638 ) / 158224

GCD(496, 638) = 316448 / 158224

GCD(496, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 496, 638, 65, 596 is 1

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1. What is the GCD of 496, 638, 65, 596?

GCD of 496, 638, 65, 596 is 1

2. Where do I get the detailed procedure to find GCD of 496, 638, 65, 596?

You can find a detailed procedure to find GCD of 496, 638, 65, 596 on our page.

3. How to find GCD of 496, 638, 65, 596 on a calculator?

You can find the GCD of 496, 638, 65, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.