GCD of 112, 810, 667 Calculator

Given Input numbers are 112, 810, 667

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 112, 810, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 810, 667 is 1.

Therefore, GCD of numbers 112, 810, 667 is 1

Given Input Data is 112, 810, 667

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 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 667 is 23 x 29

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, 810) = 45360

GCD(112, 810) = ( 112 x 810 ) / 45360

GCD(112, 810) = 90720 / 45360

GCD(112, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

GCD of 112, 810, 667 is 1

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1. What is the GCD of 112, 810, 667?

GCD of 112, 810, 667 is 1

2. Where do I get the detailed procedure to find GCD of 112, 810, 667?

You can find a detailed procedure to find GCD of 112, 810, 667 on our page.

3. How to find GCD of 112, 810, 667 on a calculator?

You can find the GCD of 112, 810, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.