GCD of 791, 560, 37, 381 Calculator

Given Input numbers are 791, 560, 37, 381

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 791, 560, 37, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 560, 37, 381 is 1.

Therefore, GCD of numbers 791, 560, 37, 381 is 1

Given Input Data is 791, 560, 37, 381

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 37 is 37

Prime Factorization of 381 is 3 x 127

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(791, 560) = 63280

GCD(791, 560) = ( 791 x 560 ) / 63280

GCD(791, 560) = 442960 / 63280

GCD(791, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 37

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

LCM(7, 37) = 259

GCD(7, 37) = ( 7 x 37 ) / 259

GCD(7, 37) = 259 / 259

GCD(7, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 791, 560, 37, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 908, 66, 456
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• GCD of 141, 619, 49, 328

1. What is the GCD of 791, 560, 37, 381?

GCD of 791, 560, 37, 381 is 1

2. Where do I get the detailed procedure to find GCD of 791, 560, 37, 381?

You can find a detailed procedure to find GCD of 791, 560, 37, 381 on our page.

3. How to find GCD of 791, 560, 37, 381 on a calculator?

You can find the GCD of 791, 560, 37, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.