GCD of 253, 465, 85, 317 Calculator

Given Input numbers are 253, 465, 85, 317

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 253, 465, 85, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 465, 85, 317 is 1.

Therefore, GCD of numbers 253, 465, 85, 317 is 1

Given Input Data is 253, 465, 85, 317

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 85 is 5 x 17

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(253, 465) = 117645

GCD(253, 465) = ( 253 x 465 ) / 117645

GCD(253, 465) = 117645 / 117645

GCD(253, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 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 253, 465, 85, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 997, 37, 764
• GCD of 379, 210, 24, 664
• GCD of 795, 883, 70, 710
• GCD of 786, 166, 38, 502
• GCD of 458, 978, 69, 639

1. What is the GCD of 253, 465, 85, 317?

GCD of 253, 465, 85, 317 is 1

2. Where do I get the detailed procedure to find GCD of 253, 465, 85, 317?

You can find a detailed procedure to find GCD of 253, 465, 85, 317 on our page.

3. How to find GCD of 253, 465, 85, 317 on a calculator?

You can find the GCD of 253, 465, 85, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.