GCD of 478, 760, 403, 112 Calculator

Given Input numbers are 478, 760, 403, 112

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

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 478, 760, 403, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 760, 403, 112 is 1.

Therefore, GCD of numbers 478, 760, 403, 112 is 1

Given Input Data is 478, 760, 403, 112

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 403 is 13 x 31

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(478, 760) = 181640

GCD(478, 760) = ( 478 x 760 ) / 181640

GCD(478, 760) = 363280 / 181640

GCD(478, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 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 478, 760, 403, 112 is 1

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1. What is the GCD of 478, 760, 403, 112?

GCD of 478, 760, 403, 112 is 1

2. Where do I get the detailed procedure to find GCD of 478, 760, 403, 112?

You can find a detailed procedure to find GCD of 478, 760, 403, 112 on our page.

3. How to find GCD of 478, 760, 403, 112 on a calculator?

You can find the GCD of 478, 760, 403, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.