GCD of 317, 524, 658, 271 Calculator

Given Input numbers are 317, 524, 658, 271

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 317, 524, 658, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 524, 658, 271 is 1.

Therefore, GCD of numbers 317, 524, 658, 271 is 1

Given Input Data is 317, 524, 658, 271

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

Prime Factorization of 317 is 317

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 271 is 271

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, 524) = 166108

GCD(317, 524) = ( 317 x 524 ) / 166108

GCD(317, 524) = 166108 / 166108

GCD(317, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 317, 524, 658, 271 is 1

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1. What is the GCD of 317, 524, 658, 271?

GCD of 317, 524, 658, 271 is 1

2. Where do I get the detailed procedure to find GCD of 317, 524, 658, 271?

You can find a detailed procedure to find GCD of 317, 524, 658, 271 on our page.

3. How to find GCD of 317, 524, 658, 271 on a calculator?

You can find the GCD of 317, 524, 658, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.