GCD of 947, 416, 20, 314 Calculator

Given Input numbers are 947, 416, 20, 314

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 947, 416, 20, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 416, 20, 314 is 1.

Therefore, GCD of numbers 947, 416, 20, 314 is 1

Given Input Data is 947, 416, 20, 314

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

Prime Factorization of 947 is 947

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 314 is 2 x 157

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(947, 416) = 393952

GCD(947, 416) = ( 947 x 416 ) / 393952

GCD(947, 416) = 393952 / 393952

GCD(947, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 947, 416, 20, 314 is 1

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1. What is the GCD of 947, 416, 20, 314?

GCD of 947, 416, 20, 314 is 1

2. Where do I get the detailed procedure to find GCD of 947, 416, 20, 314?

You can find a detailed procedure to find GCD of 947, 416, 20, 314 on our page.

3. How to find GCD of 947, 416, 20, 314 on a calculator?

You can find the GCD of 947, 416, 20, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.