GCD of 314, 475, 190, 248 Calculator

Given Input numbers are 314, 475, 190, 248

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 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 314, 475, 190, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 475, 190, 248 is 1.

Therefore, GCD of numbers 314, 475, 190, 248 is 1

Given Input Data is 314, 475, 190, 248

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 248 is 2 x 2 x 2 x 31

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, 475) = 149150

GCD(314, 475) = ( 314 x 475 ) / 149150

GCD(314, 475) = 149150 / 149150

GCD(314, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 314, 475, 190, 248 is 1

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1. What is the GCD of 314, 475, 190, 248?

GCD of 314, 475, 190, 248 is 1

2. Where do I get the detailed procedure to find GCD of 314, 475, 190, 248?

You can find a detailed procedure to find GCD of 314, 475, 190, 248 on our page.

3. How to find GCD of 314, 475, 190, 248 on a calculator?

You can find the GCD of 314, 475, 190, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.