GCD of 318, 849, 58, 971 Calculator

Given Input numbers are 318, 849, 58, 971

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 318, 849, 58, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 849, 58, 971 is 1.

Therefore, GCD of numbers 318, 849, 58, 971 is 1

Given Input Data is 318, 849, 58, 971

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 849 is 3 x 283

Prime Factorization of 58 is 2 x 29

Prime Factorization of 971 is 971

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(318, 849) = 89994

GCD(318, 849) = ( 318 x 849 ) / 89994

GCD(318, 849) = 269982 / 89994

GCD(318, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 318, 849, 58, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 470, 88, 270
• GCD of 635, 855, 81, 717
• GCD of 343, 277, 33, 198
• GCD of 884, 642, 30, 387
• GCD of 260, 479, 88, 124

1. What is the GCD of 318, 849, 58, 971?

GCD of 318, 849, 58, 971 is 1

2. Where do I get the detailed procedure to find GCD of 318, 849, 58, 971?

You can find a detailed procedure to find GCD of 318, 849, 58, 971 on our page.

3. How to find GCD of 318, 849, 58, 971 on a calculator?

You can find the GCD of 318, 849, 58, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.