GCD of 112, 788, 732, 475 Calculator

Given Input numbers are 112, 788, 732, 475

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 788

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

1, 2, 4, 197, 394, 788

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 112, 788, 732, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 788, 732, 475 is 1.

Therefore, GCD of numbers 112, 788, 732, 475 is 1

Given Input Data is 112, 788, 732, 475

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 788 is 2 x 2 x 197

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 475 is 5 x 5 x 19

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, 788) = 22064

GCD(112, 788) = ( 112 x 788 ) / 22064

GCD(112, 788) = 88256 / 22064

GCD(112, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 475

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

LCM(4, 475) = 1900

GCD(4, 475) = ( 4 x 475 ) / 1900

GCD(4, 475) = 1900 / 1900

GCD(4, 475) = 1

GCD of 112, 788, 732, 475 is 1

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1. What is the GCD of 112, 788, 732, 475?

GCD of 112, 788, 732, 475 is 1

2. Where do I get the detailed procedure to find GCD of 112, 788, 732, 475?

You can find a detailed procedure to find GCD of 112, 788, 732, 475 on our page.

3. How to find GCD of 112, 788, 732, 475 on a calculator?

You can find the GCD of 112, 788, 732, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.