GCD of 15, 248, 420, 406 Calculator

Given Input numbers are 15, 248, 420, 406

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 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 15, 248, 420, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 248, 420, 406 is 1.

Therefore, GCD of numbers 15, 248, 420, 406 is 1

Given Input Data is 15, 248, 420, 406

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 406 is 2 x 7 x 29

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, 248) = 3720

GCD(15, 248) = ( 15 x 248 ) / 3720

GCD(15, 248) = 3720 / 3720

GCD(15, 248) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 15, 248, 420, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 195, 371, 517
• GCD of 55, 921, 527, 473
• GCD of 70, 369, 652, 743
• GCD of 23, 868, 106, 343
• GCD of 58, 721, 685, 762

1. What is the GCD of 15, 248, 420, 406?

GCD of 15, 248, 420, 406 is 1

2. Where do I get the detailed procedure to find GCD of 15, 248, 420, 406?

You can find a detailed procedure to find GCD of 15, 248, 420, 406 on our page.

3. How to find GCD of 15, 248, 420, 406 on a calculator?

You can find the GCD of 15, 248, 420, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.