GCD of 56, 723, 689, 109 Calculator

Given Input numbers are 56, 723, 689, 109

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 56, 723, 689, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 723, 689, 109 is 1.

Therefore, GCD of numbers 56, 723, 689, 109 is 1

Given Input Data is 56, 723, 689, 109

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 723 is 3 x 241

Prime Factorization of 689 is 13 x 53

Prime Factorization of 109 is 109

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(56, 723) = 40488

GCD(56, 723) = ( 56 x 723 ) / 40488

GCD(56, 723) = 40488 / 40488

GCD(56, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 56, 723, 689, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 136, 829, 365
• GCD of 27, 291, 782, 457
• GCD of 98, 463, 547, 555
• GCD of 97, 448, 747, 741
• GCD of 91, 166, 415, 944

1. What is the GCD of 56, 723, 689, 109?

GCD of 56, 723, 689, 109 is 1

2. Where do I get the detailed procedure to find GCD of 56, 723, 689, 109?

You can find a detailed procedure to find GCD of 56, 723, 689, 109 on our page.

3. How to find GCD of 56, 723, 689, 109 on a calculator?

You can find the GCD of 56, 723, 689, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.