GCD of 112, 784, 68, 491 Calculator

Given Input numbers are 112, 784, 68, 491

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

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 112, 784, 68, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 784, 68, 491 is 1.

Therefore, GCD of numbers 112, 784, 68, 491 is 1

Given Input Data is 112, 784, 68, 491

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

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 491 is 491

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(112, 784) = 784

GCD(112, 784) = ( 112 x 784 ) / 784

GCD(112, 784) = 87808 / 784

GCD(112, 784) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 68

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

LCM(112, 68) = 1904

GCD(112, 68) = ( 112 x 68 ) / 1904

GCD(112, 68) = 7616 / 1904

GCD(112, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 491

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

LCM(4, 491) = 1964

GCD(4, 491) = ( 4 x 491 ) / 1964

GCD(4, 491) = 1964 / 1964

GCD(4, 491) = 1

GCD of 112, 784, 68, 491 is 1

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• GCD of 735, 379, 21, 790
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• GCD of 304, 847, 69, 950

1. What is the GCD of 112, 784, 68, 491?

GCD of 112, 784, 68, 491 is 1

2. Where do I get the detailed procedure to find GCD of 112, 784, 68, 491?

You can find a detailed procedure to find GCD of 112, 784, 68, 491 on our page.

3. How to find GCD of 112, 784, 68, 491 on a calculator?

You can find the GCD of 112, 784, 68, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.