GCD of 145, 788, 38, 597 Calculator

Given Input numbers are 145, 788, 38, 597

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 38

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

1, 2, 19, 38

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 145, 788, 38, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 788, 38, 597 is 1.

Therefore, GCD of numbers 145, 788, 38, 597 is 1

Given Input Data is 145, 788, 38, 597

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 38 is 2 x 19

Prime Factorization of 597 is 3 x 199

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(145, 788) = 114260

GCD(145, 788) = ( 145 x 788 ) / 114260

GCD(145, 788) = 114260 / 114260

GCD(145, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 145, 788, 38, 597 is 1

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1. What is the GCD of 145, 788, 38, 597?

GCD of 145, 788, 38, 597 is 1

2. Where do I get the detailed procedure to find GCD of 145, 788, 38, 597?

You can find a detailed procedure to find GCD of 145, 788, 38, 597 on our page.

3. How to find GCD of 145, 788, 38, 597 on a calculator?

You can find the GCD of 145, 788, 38, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.