GCD of 413, 112, 967, 887 Calculator

Given Input numbers are 413, 112, 967, 887

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 413, 112, 967, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 112, 967, 887 is 1.

Therefore, GCD of numbers 413, 112, 967, 887 is 1

Given Input Data is 413, 112, 967, 887

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

Prime Factorization of 413 is 7 x 59

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

Prime Factorization of 967 is 967

Prime Factorization of 887 is 887

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(413, 112) = 6608

GCD(413, 112) = ( 413 x 112 ) / 6608

GCD(413, 112) = 46256 / 6608

GCD(413, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 967

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

LCM(7, 967) = 6769

GCD(7, 967) = ( 7 x 967 ) / 6769

GCD(7, 967) = 6769 / 6769

GCD(7, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

GCD of 413, 112, 967, 887 is 1

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1. What is the GCD of 413, 112, 967, 887?

GCD of 413, 112, 967, 887 is 1

2. Where do I get the detailed procedure to find GCD of 413, 112, 967, 887?

You can find a detailed procedure to find GCD of 413, 112, 967, 887 on our page.

3. How to find GCD of 413, 112, 967, 887 on a calculator?

You can find the GCD of 413, 112, 967, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.