GCD of 395, 715, 396, 274 Calculator

Given Input numbers are 395, 715, 396, 274

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 395, 715, 396, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 715, 396, 274 is 1.

Therefore, GCD of numbers 395, 715, 396, 274 is 1

Given Input Data is 395, 715, 396, 274

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 274 is 2 x 137

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(395, 715) = 56485

GCD(395, 715) = ( 395 x 715 ) / 56485

GCD(395, 715) = 282425 / 56485

GCD(395, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 396

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

LCM(5, 396) = 1980

GCD(5, 396) = ( 5 x 396 ) / 1980

GCD(5, 396) = 1980 / 1980

GCD(5, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 395, 715, 396, 274 is 1

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1. What is the GCD of 395, 715, 396, 274?

GCD of 395, 715, 396, 274 is 1

2. Where do I get the detailed procedure to find GCD of 395, 715, 396, 274?

You can find a detailed procedure to find GCD of 395, 715, 396, 274 on our page.

3. How to find GCD of 395, 715, 396, 274 on a calculator?

You can find the GCD of 395, 715, 396, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.