GCD of 371, 112, 859, 499 Calculator

Given Input numbers are 371, 112, 859, 499

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 371, 112, 859, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 112, 859, 499 is 1.

Therefore, GCD of numbers 371, 112, 859, 499 is 1

Given Input Data is 371, 112, 859, 499

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

Prime Factorization of 371 is 7 x 53

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

Prime Factorization of 859 is 859

Prime Factorization of 499 is 499

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(371, 112) = 5936

GCD(371, 112) = ( 371 x 112 ) / 5936

GCD(371, 112) = 41552 / 5936

GCD(371, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 859

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

LCM(7, 859) = 6013

GCD(7, 859) = ( 7 x 859 ) / 6013

GCD(7, 859) = 6013 / 6013

GCD(7, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 371, 112, 859, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 787, 397, 818
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• GCD of 743, 743, 433, 259

1. What is the GCD of 371, 112, 859, 499?

GCD of 371, 112, 859, 499 is 1

2. Where do I get the detailed procedure to find GCD of 371, 112, 859, 499?

You can find a detailed procedure to find GCD of 371, 112, 859, 499 on our page.

3. How to find GCD of 371, 112, 859, 499 on a calculator?

You can find the GCD of 371, 112, 859, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.