GCD of 315, 566, 992, 395 Calculator

Given Input numbers are 315, 566, 992, 395

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 395

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

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 315, 566, 992, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 566, 992, 395 is 1.

Therefore, GCD of numbers 315, 566, 992, 395 is 1

Given Input Data is 315, 566, 992, 395

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 566 is 2 x 283

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 395 is 5 x 79

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(315, 566) = 178290

GCD(315, 566) = ( 315 x 566 ) / 178290

GCD(315, 566) = 178290 / 178290

GCD(315, 566) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 315, 566, 992, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 704, 698, 496
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• GCD of 979, 222, 677, 961
• GCD of 821, 914, 207, 812

1. What is the GCD of 315, 566, 992, 395?

GCD of 315, 566, 992, 395 is 1

2. Where do I get the detailed procedure to find GCD of 315, 566, 992, 395?

You can find a detailed procedure to find GCD of 315, 566, 992, 395 on our page.

3. How to find GCD of 315, 566, 992, 395 on a calculator?

You can find the GCD of 315, 566, 992, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.