GCD of 420, 248, 15 Calculator

Given Input numbers are 420, 248, 15

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

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 248

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

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

Divisors of 15

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

1, 3, 5, 15

Greatest Common Divisior

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

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

Given Input Data is 420, 248, 15

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

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

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

Prime Factorization of 15 is 3 x 5

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(420, 248) = 26040

GCD(420, 248) = ( 420 x 248 ) / 26040

GCD(420, 248) = 104160 / 26040

GCD(420, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

GCD of 420, 248, 15 is 1

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

GCD of 420, 248, 15 is 1

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

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

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

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