GCD of 113, 783, 563, 744 Calculator

Given Input numbers are 113, 783, 563, 744

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 783

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

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 113, 783, 563, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 783, 563, 744 is 1.

Therefore, GCD of numbers 113, 783, 563, 744 is 1

Given Input Data is 113, 783, 563, 744

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

Prime Factorization of 113 is 113

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

Prime Factorization of 563 is 563

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(113, 783) = 88479

GCD(113, 783) = ( 113 x 783 ) / 88479

GCD(113, 783) = 88479 / 88479

GCD(113, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 113, 783, 563, 744 is 1

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1. What is the GCD of 113, 783, 563, 744?

GCD of 113, 783, 563, 744 is 1

2. Where do I get the detailed procedure to find GCD of 113, 783, 563, 744?

You can find a detailed procedure to find GCD of 113, 783, 563, 744 on our page.

3. How to find GCD of 113, 783, 563, 744 on a calculator?

You can find the GCD of 113, 783, 563, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.