GCD of 331, 285, 715, 969 Calculator

Given Input numbers are 331, 285, 715, 969

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 331, 285, 715, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 285, 715, 969 is 1.

Therefore, GCD of numbers 331, 285, 715, 969 is 1

Given Input Data is 331, 285, 715, 969

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

Prime Factorization of 331 is 331

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 969 is 3 x 17 x 19

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(331, 285) = 94335

GCD(331, 285) = ( 331 x 285 ) / 94335

GCD(331, 285) = 94335 / 94335

GCD(331, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 331, 285, 715, 969 is 1

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1. What is the GCD of 331, 285, 715, 969?

GCD of 331, 285, 715, 969 is 1

2. Where do I get the detailed procedure to find GCD of 331, 285, 715, 969?

You can find a detailed procedure to find GCD of 331, 285, 715, 969 on our page.

3. How to find GCD of 331, 285, 715, 969 on a calculator?

You can find the GCD of 331, 285, 715, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.