GCD of 105, 998, 384, 454 Calculator

Given Input numbers are 105, 998, 384, 454

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 998

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

1, 2, 499, 998

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 105, 998, 384, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 998, 384, 454 is 1.

Therefore, GCD of numbers 105, 998, 384, 454 is 1

Given Input Data is 105, 998, 384, 454

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 454 is 2 x 227

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(105, 998) = 104790

GCD(105, 998) = ( 105 x 998 ) / 104790

GCD(105, 998) = 104790 / 104790

GCD(105, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 105, 998, 384, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 697, 113, 601
• GCD of 383, 938, 401, 388
• GCD of 607, 920, 952, 798
• GCD of 164, 793, 693, 318
• GCD of 369, 124, 235, 868

1. What is the GCD of 105, 998, 384, 454?

GCD of 105, 998, 384, 454 is 1

2. Where do I get the detailed procedure to find GCD of 105, 998, 384, 454?

You can find a detailed procedure to find GCD of 105, 998, 384, 454 on our page.

3. How to find GCD of 105, 998, 384, 454 on a calculator?

You can find the GCD of 105, 998, 384, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.