GCD of 317, 491, 60, 348 Calculator

Given Input numbers are 317, 491, 60, 348

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 317, 491, 60, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 491, 60, 348 is 1.

Therefore, GCD of numbers 317, 491, 60, 348 is 1

Given Input Data is 317, 491, 60, 348

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

Prime Factorization of 317 is 317

Prime Factorization of 491 is 491

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 491) = 155647

GCD(317, 491) = ( 317 x 491 ) / 155647

GCD(317, 491) = 155647 / 155647

GCD(317, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 317, 491, 60, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 981, 16, 574
• GCD of 496, 906, 84, 653
• GCD of 234, 997, 56, 244
• GCD of 481, 628, 16, 142
• GCD of 750, 555, 88, 794

1. What is the GCD of 317, 491, 60, 348?

GCD of 317, 491, 60, 348 is 1

2. Where do I get the detailed procedure to find GCD of 317, 491, 60, 348?

You can find a detailed procedure to find GCD of 317, 491, 60, 348 on our page.

3. How to find GCD of 317, 491, 60, 348 on a calculator?

You can find the GCD of 317, 491, 60, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.