GCD of 317, 268, 88, 500 Calculator

Given Input numbers are 317, 268, 88, 500

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 317, 268, 88, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 268, 88, 500 is 1.

Therefore, GCD of numbers 317, 268, 88, 500 is 1

Given Input Data is 317, 268, 88, 500

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

Prime Factorization of 317 is 317

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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, 268) = 84956

GCD(317, 268) = ( 317 x 268 ) / 84956

GCD(317, 268) = 84956 / 84956

GCD(317, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 317, 268, 88, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 199, 74, 421
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• GCD of 810, 772, 64, 323
• GCD of 802, 270, 13, 399
• GCD of 730, 190, 13, 251

1. What is the GCD of 317, 268, 88, 500?

GCD of 317, 268, 88, 500 is 1

2. Where do I get the detailed procedure to find GCD of 317, 268, 88, 500?

You can find a detailed procedure to find GCD of 317, 268, 88, 500 on our page.

3. How to find GCD of 317, 268, 88, 500 on a calculator?

You can find the GCD of 317, 268, 88, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.