GCD of 895, 105, 513, 317 Calculator

Given Input numbers are 895, 105, 513, 317

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 317

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

1, 317

Greatest Common Divisior

We found the divisors of 895, 105, 513, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 105, 513, 317 is 1.

Therefore, GCD of numbers 895, 105, 513, 317 is 1

Given Input Data is 895, 105, 513, 317

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 317 is 317

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(895, 105) = 18795

GCD(895, 105) = ( 895 x 105 ) / 18795

GCD(895, 105) = 93975 / 18795

GCD(895, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 513

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

LCM(5, 513) = 2565

GCD(5, 513) = ( 5 x 513 ) / 2565

GCD(5, 513) = 2565 / 2565

GCD(5, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 895, 105, 513, 317 is 1

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1. What is the GCD of 895, 105, 513, 317?

GCD of 895, 105, 513, 317 is 1

2. Where do I get the detailed procedure to find GCD of 895, 105, 513, 317?

You can find a detailed procedure to find GCD of 895, 105, 513, 317 on our page.

3. How to find GCD of 895, 105, 513, 317 on a calculator?

You can find the GCD of 895, 105, 513, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.