GCD of 788, 514, 397, 938 Calculator

Given Input numbers are 788, 514, 397, 938

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 788, 514, 397, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 514, 397, 938 is 1.

Therefore, GCD of numbers 788, 514, 397, 938 is 1

Given Input Data is 788, 514, 397, 938

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 514 is 2 x 257

Prime Factorization of 397 is 397

Prime Factorization of 938 is 2 x 7 x 67

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(788, 514) = 202516

GCD(788, 514) = ( 788 x 514 ) / 202516

GCD(788, 514) = 405032 / 202516

GCD(788, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 788, 514, 397, 938 is 1

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1. What is the GCD of 788, 514, 397, 938?

GCD of 788, 514, 397, 938 is 1

2. Where do I get the detailed procedure to find GCD of 788, 514, 397, 938?

You can find a detailed procedure to find GCD of 788, 514, 397, 938 on our page.

3. How to find GCD of 788, 514, 397, 938 on a calculator?

You can find the GCD of 788, 514, 397, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.