GCD of 13, 742, 476, 783 Calculator

Given Input numbers are 13, 742, 476, 783

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

Divisors of 13

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

1, 13

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 13, 742, 476, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 742, 476, 783 is 1.

Therefore, GCD of numbers 13, 742, 476, 783 is 1

Given Input Data is 13, 742, 476, 783

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

Prime Factorization of 13 is 13

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(13, 742) = 9646

GCD(13, 742) = ( 13 x 742 ) / 9646

GCD(13, 742) = 9646 / 9646

GCD(13, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 13, 742, 476, 783 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 913, 109, 336
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• GCD of 96, 138, 119, 965

1. What is the GCD of 13, 742, 476, 783?

GCD of 13, 742, 476, 783 is 1

2. Where do I get the detailed procedure to find GCD of 13, 742, 476, 783?

You can find a detailed procedure to find GCD of 13, 742, 476, 783 on our page.

3. How to find GCD of 13, 742, 476, 783 on a calculator?

You can find the GCD of 13, 742, 476, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.