GCD of 560, 679, 789, 540 Calculator

Given Input numbers are 560, 679, 789, 540

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 560, 679, 789, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 679, 789, 540 is 1.

Therefore, GCD of numbers 560, 679, 789, 540 is 1

Given Input Data is 560, 679, 789, 540

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 679 is 7 x 97

Prime Factorization of 789 is 3 x 263

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(560, 679) = 54320

GCD(560, 679) = ( 560 x 679 ) / 54320

GCD(560, 679) = 380240 / 54320

GCD(560, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 789

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

LCM(7, 789) = 5523

GCD(7, 789) = ( 7 x 789 ) / 5523

GCD(7, 789) = 5523 / 5523

GCD(7, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 560, 679, 789, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 934, 807, 822
• GCD of 385, 367, 149, 586
• GCD of 872, 741, 704, 990
• GCD of 489, 996, 322, 743
• GCD of 932, 860, 635, 792

1. What is the GCD of 560, 679, 789, 540?

GCD of 560, 679, 789, 540 is 1

2. Where do I get the detailed procedure to find GCD of 560, 679, 789, 540?

You can find a detailed procedure to find GCD of 560, 679, 789, 540 on our page.

3. How to find GCD of 560, 679, 789, 540 on a calculator?

You can find the GCD of 560, 679, 789, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.