GCD of 15, 687, 495, 698 Calculator

Given Input numbers are 15, 687, 495, 698

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 15, 687, 495, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 687, 495, 698 is 1.

Therefore, GCD of numbers 15, 687, 495, 698 is 1

Given Input Data is 15, 687, 495, 698

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 687 is 3 x 229

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 698 is 2 x 349

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, 687) = 3435

GCD(15, 687) = ( 15 x 687 ) / 3435

GCD(15, 687) = 10305 / 3435

GCD(15, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 495

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

LCM(3, 495) = 495

GCD(3, 495) = ( 3 x 495 ) / 495

GCD(3, 495) = 1485 / 495

GCD(3, 495) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

GCD of 15, 687, 495, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 788, 878, 884
• GCD of 17, 768, 312, 293
• GCD of 68, 778, 208, 504
• GCD of 81, 595, 326, 444
• GCD of 15, 830, 254, 659

1. What is the GCD of 15, 687, 495, 698?

GCD of 15, 687, 495, 698 is 1

2. Where do I get the detailed procedure to find GCD of 15, 687, 495, 698?

You can find a detailed procedure to find GCD of 15, 687, 495, 698 on our page.

3. How to find GCD of 15, 687, 495, 698 on a calculator?

You can find the GCD of 15, 687, 495, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.