GCD of 774, 112, 16, 947 Calculator

Given Input numbers are 774, 112, 16, 947

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 947

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

1, 947

Greatest Common Divisior

We found the divisors of 774, 112, 16, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 112, 16, 947 is 1.

Therefore, GCD of numbers 774, 112, 16, 947 is 1

Given Input Data is 774, 112, 16, 947

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 947 is 947

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(774, 112) = 43344

GCD(774, 112) = ( 774 x 112 ) / 43344

GCD(774, 112) = 86688 / 43344

GCD(774, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 774, 112, 16, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 305, 94, 256
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• GCD of 647, 581, 90, 262

1. What is the GCD of 774, 112, 16, 947?

GCD of 774, 112, 16, 947 is 1

2. Where do I get the detailed procedure to find GCD of 774, 112, 16, 947?

You can find a detailed procedure to find GCD of 774, 112, 16, 947 on our page.

3. How to find GCD of 774, 112, 16, 947 on a calculator?

You can find the GCD of 774, 112, 16, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.