GCD of 460, 314, 275 Calculator

Given Input numbers are 460, 314, 275

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 314

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

1, 2, 157, 314

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 460, 314, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 314, 275 is 1.

Therefore, GCD of numbers 460, 314, 275 is 1

Given Input Data is 460, 314, 275

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 314 is 2 x 157

Prime Factorization of 275 is 5 x 5 x 11

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(460, 314) = 72220

GCD(460, 314) = ( 460 x 314 ) / 72220

GCD(460, 314) = 144440 / 72220

GCD(460, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 460, 314, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 600, 303
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• GCD of 891, 249, 166
• GCD of 722, 872, 156

1. What is the GCD of 460, 314, 275?

GCD of 460, 314, 275 is 1

2. Where do I get the detailed procedure to find GCD of 460, 314, 275?

You can find a detailed procedure to find GCD of 460, 314, 275 on our page.

3. How to find GCD of 460, 314, 275 on a calculator?

You can find the GCD of 460, 314, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.