GCD of 788, 307, 49, 112 Calculator

Given Input numbers are 788, 307, 49, 112

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 788, 307, 49, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 307, 49, 112 is 1.

Therefore, GCD of numbers 788, 307, 49, 112 is 1

Given Input Data is 788, 307, 49, 112

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 307 is 307

Prime Factorization of 49 is 7 x 7

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

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(788, 307) = 241916

GCD(788, 307) = ( 788 x 307 ) / 241916

GCD(788, 307) = 241916 / 241916

GCD(788, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 788, 307, 49, 112 is 1

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1. What is the GCD of 788, 307, 49, 112?

GCD of 788, 307, 49, 112 is 1

2. Where do I get the detailed procedure to find GCD of 788, 307, 49, 112?

You can find a detailed procedure to find GCD of 788, 307, 49, 112 on our page.

3. How to find GCD of 788, 307, 49, 112 on a calculator?

You can find the GCD of 788, 307, 49, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.