GCD of 532, 775, 13, 554 Calculator

Given Input numbers are 532, 775, 13, 554

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 532, 775, 13, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 775, 13, 554 is 1.

Therefore, GCD of numbers 532, 775, 13, 554 is 1

Given Input Data is 532, 775, 13, 554

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 13 is 13

Prime Factorization of 554 is 2 x 277

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(532, 775) = 412300

GCD(532, 775) = ( 532 x 775 ) / 412300

GCD(532, 775) = 412300 / 412300

GCD(532, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 532, 775, 13, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 209, 18, 771
• GCD of 215, 961, 99, 498
• GCD of 875, 458, 21, 901
• GCD of 608, 995, 14, 473
• GCD of 627, 986, 87, 415

1. What is the GCD of 532, 775, 13, 554?

GCD of 532, 775, 13, 554 is 1

2. Where do I get the detailed procedure to find GCD of 532, 775, 13, 554?

You can find a detailed procedure to find GCD of 532, 775, 13, 554 on our page.

3. How to find GCD of 532, 775, 13, 554 on a calculator?

You can find the GCD of 532, 775, 13, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.