GCD of 880, 112, 609 Calculator

Given Input numbers are 880, 112, 609

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 880, 112, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 112, 609 is 1.

Therefore, GCD of numbers 880, 112, 609 is 1

Given Input Data is 880, 112, 609

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 609 is 3 x 7 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(880, 112) = 6160

GCD(880, 112) = ( 880 x 112 ) / 6160

GCD(880, 112) = 98560 / 6160

GCD(880, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 609

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

LCM(16, 609) = 9744

GCD(16, 609) = ( 16 x 609 ) / 9744

GCD(16, 609) = 9744 / 9744

GCD(16, 609) = 1

GCD of 880, 112, 609 is 1

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1. What is the GCD of 880, 112, 609?

GCD of 880, 112, 609 is 1

2. Where do I get the detailed procedure to find GCD of 880, 112, 609?

You can find a detailed procedure to find GCD of 880, 112, 609 on our page.

3. How to find GCD of 880, 112, 609 on a calculator?

You can find the GCD of 880, 112, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.