GCD of 45, 282, 378, 998 Calculator

Given Input numbers are 45, 282, 378, 998

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 45, 282, 378, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 282, 378, 998 is 1.

Therefore, GCD of numbers 45, 282, 378, 998 is 1

Given Input Data is 45, 282, 378, 998

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 998 is 2 x 499

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(45, 282) = 4230

GCD(45, 282) = ( 45 x 282 ) / 4230

GCD(45, 282) = 12690 / 4230

GCD(45, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 998

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

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

GCD(3, 998) = 2994 / 2994

GCD(3, 998) = 1

GCD of 45, 282, 378, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 808, 978, 738
• GCD of 45, 317, 690, 450
• GCD of 53, 704, 589, 845
• GCD of 52, 723, 748, 891
• GCD of 15, 721, 191, 670

1. What is the GCD of 45, 282, 378, 998?

GCD of 45, 282, 378, 998 is 1

2. Where do I get the detailed procedure to find GCD of 45, 282, 378, 998?

You can find a detailed procedure to find GCD of 45, 282, 378, 998 on our page.

3. How to find GCD of 45, 282, 378, 998 on a calculator?

You can find the GCD of 45, 282, 378, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.