GCD of 496, 756, 13, 332 Calculator

Given Input numbers are 496, 756, 13, 332

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 496, 756, 13, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 756, 13, 332 is 1.

Therefore, GCD of numbers 496, 756, 13, 332 is 1

Given Input Data is 496, 756, 13, 332

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 13 is 13

Prime Factorization of 332 is 2 x 2 x 83

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, 756) = 93744

GCD(496, 756) = ( 496 x 756 ) / 93744

GCD(496, 756) = 374976 / 93744

GCD(496, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 13

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

LCM(4, 13) = 52

GCD(4, 13) = ( 4 x 13 ) / 52

GCD(4, 13) = 52 / 52

GCD(4, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 496, 756, 13, 332 is 1

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• GCD of 140, 772, 15, 751
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• GCD of 405, 160, 21, 781
• GCD of 118, 785, 65, 500

1. What is the GCD of 496, 756, 13, 332?

GCD of 496, 756, 13, 332 is 1

2. Where do I get the detailed procedure to find GCD of 496, 756, 13, 332?

You can find a detailed procedure to find GCD of 496, 756, 13, 332 on our page.

3. How to find GCD of 496, 756, 13, 332 on a calculator?

You can find the GCD of 496, 756, 13, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.