GCD of 38, 583, 945, 733 Calculator

Given Input numbers are 38, 583, 945, 733

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 38, 583, 945, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 583, 945, 733 is 1.

Therefore, GCD of numbers 38, 583, 945, 733 is 1

Given Input Data is 38, 583, 945, 733

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 583 is 11 x 53

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 733 is 733

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(38, 583) = 22154

GCD(38, 583) = ( 38 x 583 ) / 22154

GCD(38, 583) = 22154 / 22154

GCD(38, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 38, 583, 945, 733 is 1

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• GCD of 74, 876, 757, 958

1. What is the GCD of 38, 583, 945, 733?

GCD of 38, 583, 945, 733 is 1

2. Where do I get the detailed procedure to find GCD of 38, 583, 945, 733?

You can find a detailed procedure to find GCD of 38, 583, 945, 733 on our page.

3. How to find GCD of 38, 583, 945, 733 on a calculator?

You can find the GCD of 38, 583, 945, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.