GCD of 112, 609, 721, 759 Calculator

Given Input numbers are 112, 609, 721, 759

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 609

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

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 112, 609, 721, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 609, 721, 759 is 1.

Therefore, GCD of numbers 112, 609, 721, 759 is 1

Given Input Data is 112, 609, 721, 759

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 609 is 3 x 7 x 29

Prime Factorization of 721 is 7 x 103

Prime Factorization of 759 is 3 x 11 x 23

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, 609) = 9744

GCD(112, 609) = ( 112 x 609 ) / 9744

GCD(112, 609) = 68208 / 9744

GCD(112, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 721

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

LCM(7, 721) = 721

GCD(7, 721) = ( 7 x 721 ) / 721

GCD(7, 721) = 5047 / 721

GCD(7, 721) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 759

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

LCM(7, 759) = 5313

GCD(7, 759) = ( 7 x 759 ) / 5313

GCD(7, 759) = 5313 / 5313

GCD(7, 759) = 1

GCD of 112, 609, 721, 759 is 1

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1. What is the GCD of 112, 609, 721, 759?

GCD of 112, 609, 721, 759 is 1

2. Where do I get the detailed procedure to find GCD of 112, 609, 721, 759?

You can find a detailed procedure to find GCD of 112, 609, 721, 759 on our page.

3. How to find GCD of 112, 609, 721, 759 on a calculator?

You can find the GCD of 112, 609, 721, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.