GCD of 481, 415, 85, 112 Calculator

Given Input numbers are 481, 415, 85, 112

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

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 481, 415, 85, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 481, 415, 85, 112 is 1.

Therefore, GCD of numbers 481, 415, 85, 112 is 1

Given Input Data is 481, 415, 85, 112

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

Prime Factorization of 481 is 13 x 37

Prime Factorization of 415 is 5 x 83

Prime Factorization of 85 is 5 x 17

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(481, 415) = 199615

GCD(481, 415) = ( 481 x 415 ) / 199615

GCD(481, 415) = 199615 / 199615

GCD(481, 415) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 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 481, 415, 85, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 707, 15, 399
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• GCD of 592, 705, 16, 328

1. What is the GCD of 481, 415, 85, 112?

GCD of 481, 415, 85, 112 is 1

2. Where do I get the detailed procedure to find GCD of 481, 415, 85, 112?

You can find a detailed procedure to find GCD of 481, 415, 85, 112 on our page.

3. How to find GCD of 481, 415, 85, 112 on a calculator?

You can find the GCD of 481, 415, 85, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.