GCD of 317, 675, 705, 497 Calculator

Given Input numbers are 317, 675, 705, 497

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 317, 675, 705, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 675, 705, 497 is 1.

Therefore, GCD of numbers 317, 675, 705, 497 is 1

Given Input Data is 317, 675, 705, 497

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

Prime Factorization of 317 is 317

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 497 is 7 x 71

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(317, 675) = 213975

GCD(317, 675) = ( 317 x 675 ) / 213975

GCD(317, 675) = 213975 / 213975

GCD(317, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 317, 675, 705, 497 is 1

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1. What is the GCD of 317, 675, 705, 497?

GCD of 317, 675, 705, 497 is 1

2. Where do I get the detailed procedure to find GCD of 317, 675, 705, 497?

You can find a detailed procedure to find GCD of 317, 675, 705, 497 on our page.

3. How to find GCD of 317, 675, 705, 497 on a calculator?

You can find the GCD of 317, 675, 705, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.