GCD of 48, 990, 815, 414 Calculator

Given Input numbers are 48, 990, 815, 414

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 48, 990, 815, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 990, 815, 414 is 1.

Therefore, GCD of numbers 48, 990, 815, 414 is 1

Given Input Data is 48, 990, 815, 414

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 815 is 5 x 163

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(48, 990) = 7920

GCD(48, 990) = ( 48 x 990 ) / 7920

GCD(48, 990) = 47520 / 7920

GCD(48, 990) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 815

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

LCM(6, 815) = 4890

GCD(6, 815) = ( 6 x 815 ) / 4890

GCD(6, 815) = 4890 / 4890

GCD(6, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 48, 990, 815, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 844, 198, 838
• GCD of 79, 523, 672, 623
• GCD of 80, 415, 704, 348
• GCD of 78, 799, 190, 570
• GCD of 47, 445, 221, 112

1. What is the GCD of 48, 990, 815, 414?

GCD of 48, 990, 815, 414 is 1

2. Where do I get the detailed procedure to find GCD of 48, 990, 815, 414?

You can find a detailed procedure to find GCD of 48, 990, 815, 414 on our page.

3. How to find GCD of 48, 990, 815, 414 on a calculator?

You can find the GCD of 48, 990, 815, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.