GCD of 314, 473, 137 Calculator

Given Input numbers are 314, 473, 137

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 314, 473, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 473, 137 is 1.

Therefore, GCD of numbers 314, 473, 137 is 1

Given Input Data is 314, 473, 137

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 473 is 11 x 43

Prime Factorization of 137 is 137

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(314, 473) = 148522

GCD(314, 473) = ( 314 x 473 ) / 148522

GCD(314, 473) = 148522 / 148522

GCD(314, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 314, 473, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 259, 730
• GCD of 791, 981, 704
• GCD of 273, 487, 470
• GCD of 114, 223, 646
• GCD of 143, 319, 807

1. What is the GCD of 314, 473, 137?

GCD of 314, 473, 137 is 1

2. Where do I get the detailed procedure to find GCD of 314, 473, 137?

You can find a detailed procedure to find GCD of 314, 473, 137 on our page.

3. How to find GCD of 314, 473, 137 on a calculator?

You can find the GCD of 314, 473, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.