GCD of 476, 314, 15, 348 Calculator

Given Input numbers are 476, 314, 15, 348

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 314

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

1, 2, 157, 314

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 476, 314, 15, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 314, 15, 348 is 1.

Therefore, GCD of numbers 476, 314, 15, 348 is 1

Given Input Data is 476, 314, 15, 348

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 15 is 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(476, 314) = 74732

GCD(476, 314) = ( 476 x 314 ) / 74732

GCD(476, 314) = 149464 / 74732

GCD(476, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 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 476, 314, 15, 348 is 1

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• GCD of 255, 665, 37, 395
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1. What is the GCD of 476, 314, 15, 348?

GCD of 476, 314, 15, 348 is 1

2. Where do I get the detailed procedure to find GCD of 476, 314, 15, 348?

You can find a detailed procedure to find GCD of 476, 314, 15, 348 on our page.

3. How to find GCD of 476, 314, 15, 348 on a calculator?

You can find the GCD of 476, 314, 15, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.