GCD of 315, 815, 348, 970 Calculator

Given Input numbers are 315, 815, 348, 970

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 315, 815, 348, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 815, 348, 970 is 1.

Therefore, GCD of numbers 315, 815, 348, 970 is 1

Given Input Data is 315, 815, 348, 970

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 815 is 5 x 163

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 970 is 2 x 5 x 97

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, 815) = 51345

GCD(315, 815) = ( 315 x 815 ) / 51345

GCD(315, 815) = 256725 / 51345

GCD(315, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 348

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

LCM(5, 348) = 1740

GCD(5, 348) = ( 5 x 348 ) / 1740

GCD(5, 348) = 1740 / 1740

GCD(5, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 315, 815, 348, 970 is 1

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1. What is the GCD of 315, 815, 348, 970?

GCD of 315, 815, 348, 970 is 1

2. Where do I get the detailed procedure to find GCD of 315, 815, 348, 970?

You can find a detailed procedure to find GCD of 315, 815, 348, 970 on our page.

3. How to find GCD of 315, 815, 348, 970 on a calculator?

You can find the GCD of 315, 815, 348, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.