GCD of 489, 112, 700 Calculator

Given Input numbers are 489, 112, 700

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 489, 112, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 112, 700 is 1.

Therefore, GCD of numbers 489, 112, 700 is 1

Given Input Data is 489, 112, 700

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

Prime Factorization of 489 is 3 x 163

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(489, 112) = 54768

GCD(489, 112) = ( 489 x 112 ) / 54768

GCD(489, 112) = 54768 / 54768

GCD(489, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 489, 112, 700 is 1

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1. What is the GCD of 489, 112, 700?

GCD of 489, 112, 700 is 1

2. Where do I get the detailed procedure to find GCD of 489, 112, 700?

You can find a detailed procedure to find GCD of 489, 112, 700 on our page.

3. How to find GCD of 489, 112, 700 on a calculator?

You can find the GCD of 489, 112, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.