GCD of 13, 501, 693, 545 Calculator

Given Input numbers are 13, 501, 693, 545

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

Divisors of 13

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

1, 13

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 13, 501, 693, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 501, 693, 545 is 1.

Therefore, GCD of numbers 13, 501, 693, 545 is 1

Given Input Data is 13, 501, 693, 545

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

Prime Factorization of 13 is 13

Prime Factorization of 501 is 3 x 167

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 545 is 5 x 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(13, 501) = 6513

GCD(13, 501) = ( 13 x 501 ) / 6513

GCD(13, 501) = 6513 / 6513

GCD(13, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 13, 501, 693, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 464, 978, 630
• GCD of 39, 737, 778, 647
• GCD of 14, 550, 639, 516
• GCD of 58, 824, 900, 704
• GCD of 79, 422, 183, 132

1. What is the GCD of 13, 501, 693, 545?

GCD of 13, 501, 693, 545 is 1

2. Where do I get the detailed procedure to find GCD of 13, 501, 693, 545?

You can find a detailed procedure to find GCD of 13, 501, 693, 545 on our page.

3. How to find GCD of 13, 501, 693, 545 on a calculator?

You can find the GCD of 13, 501, 693, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.