GCD of 289, 487, 49, 315 Calculator

Given Input numbers are 289, 487, 49, 315

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 289, 487, 49, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 487, 49, 315 is 1.

Therefore, GCD of numbers 289, 487, 49, 315 is 1

Given Input Data is 289, 487, 49, 315

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 487 is 487

Prime Factorization of 49 is 7 x 7

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

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(289, 487) = 140743

GCD(289, 487) = ( 289 x 487 ) / 140743

GCD(289, 487) = 140743 / 140743

GCD(289, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 289, 487, 49, 315 is 1

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1. What is the GCD of 289, 487, 49, 315?

GCD of 289, 487, 49, 315 is 1

2. Where do I get the detailed procedure to find GCD of 289, 487, 49, 315?

You can find a detailed procedure to find GCD of 289, 487, 49, 315 on our page.

3. How to find GCD of 289, 487, 49, 315 on a calculator?

You can find the GCD of 289, 487, 49, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.