GCD of 539, 704, 623, 780 Calculator

Given Input numbers are 539, 704, 623, 780

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

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 539, 704, 623, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 704, 623, 780 is 1.

Therefore, GCD of numbers 539, 704, 623, 780 is 1

Given Input Data is 539, 704, 623, 780

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 623 is 7 x 89

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(539, 704) = 34496

GCD(539, 704) = ( 539 x 704 ) / 34496

GCD(539, 704) = 379456 / 34496

GCD(539, 704) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 623

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

LCM(11, 623) = 6853

GCD(11, 623) = ( 11 x 623 ) / 6853

GCD(11, 623) = 6853 / 6853

GCD(11, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 539, 704, 623, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 309, 669, 591
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1. What is the GCD of 539, 704, 623, 780?

GCD of 539, 704, 623, 780 is 1

2. Where do I get the detailed procedure to find GCD of 539, 704, 623, 780?

You can find a detailed procedure to find GCD of 539, 704, 623, 780 on our page.

3. How to find GCD of 539, 704, 623, 780 on a calculator?

You can find the GCD of 539, 704, 623, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.