GCD of 15, 172, 727, 802 Calculator

Given Input numbers are 15, 172, 727, 802

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 15, 172, 727, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 172, 727, 802 is 1.

Therefore, GCD of numbers 15, 172, 727, 802 is 1

Given Input Data is 15, 172, 727, 802

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 727 is 727

Prime Factorization of 802 is 2 x 401

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(15, 172) = 2580

GCD(15, 172) = ( 15 x 172 ) / 2580

GCD(15, 172) = 2580 / 2580

GCD(15, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 15, 172, 727, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 291, 888, 549
• GCD of 58, 299, 322, 297
• GCD of 53, 691, 509, 760
• GCD of 75, 641, 545, 323
• GCD of 33, 960, 147, 406

1. What is the GCD of 15, 172, 727, 802?

GCD of 15, 172, 727, 802 is 1

2. Where do I get the detailed procedure to find GCD of 15, 172, 727, 802?

You can find a detailed procedure to find GCD of 15, 172, 727, 802 on our page.

3. How to find GCD of 15, 172, 727, 802 on a calculator?

You can find the GCD of 15, 172, 727, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.