GCD of 715, 819, 956, 381 Calculator

Given Input numbers are 715, 819, 956, 381

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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 715, 819, 956, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 819, 956, 381 is 1.

Therefore, GCD of numbers 715, 819, 956, 381 is 1

Given Input Data is 715, 819, 956, 381

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 956 is 2 x 2 x 239

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(715, 819) = 45045

GCD(715, 819) = ( 715 x 819 ) / 45045

GCD(715, 819) = 585585 / 45045

GCD(715, 819) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 956

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

LCM(13, 956) = 12428

GCD(13, 956) = ( 13 x 956 ) / 12428

GCD(13, 956) = 12428 / 12428

GCD(13, 956) = 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 715, 819, 956, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 997, 383, 730
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• GCD of 174, 381, 117, 372
• GCD of 825, 280, 119, 387

1. What is the GCD of 715, 819, 956, 381?

GCD of 715, 819, 956, 381 is 1

2. Where do I get the detailed procedure to find GCD of 715, 819, 956, 381?

You can find a detailed procedure to find GCD of 715, 819, 956, 381 on our page.

3. How to find GCD of 715, 819, 956, 381 on a calculator?

You can find the GCD of 715, 819, 956, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.