GCD of 998, 889, 447, 364 Calculator

Given Input numbers are 998, 889, 447, 364

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 998, 889, 447, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 889, 447, 364 is 1.

Therefore, GCD of numbers 998, 889, 447, 364 is 1

Given Input Data is 998, 889, 447, 364

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 889 is 7 x 127

Prime Factorization of 447 is 3 x 149

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(998, 889) = 887222

GCD(998, 889) = ( 998 x 889 ) / 887222

GCD(998, 889) = 887222 / 887222

GCD(998, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 998, 889, 447, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 214, 646, 443
• GCD of 781, 258, 533, 377
• GCD of 430, 404, 195, 674
• GCD of 278, 318, 308, 123
• GCD of 495, 396, 793, 175

1. What is the GCD of 998, 889, 447, 364?

GCD of 998, 889, 447, 364 is 1

2. Where do I get the detailed procedure to find GCD of 998, 889, 447, 364?

You can find a detailed procedure to find GCD of 998, 889, 447, 364 on our page.

3. How to find GCD of 998, 889, 447, 364 on a calculator?

You can find the GCD of 998, 889, 447, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.