GCD of 998, 476, 453, 502 Calculator

Given Input numbers are 998, 476, 453, 502

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 998, 476, 453, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 476, 453, 502 is 1.

Therefore, GCD of numbers 998, 476, 453, 502 is 1

Given Input Data is 998, 476, 453, 502

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 453 is 3 x 151

Prime Factorization of 502 is 2 x 251

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, 476) = 237524

GCD(998, 476) = ( 998 x 476 ) / 237524

GCD(998, 476) = 475048 / 237524

GCD(998, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 998, 476, 453, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 185, 871, 261
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• GCD of 325, 911, 810, 282
• GCD of 365, 192, 795, 408
• GCD of 100, 506, 271, 680

1. What is the GCD of 998, 476, 453, 502?

GCD of 998, 476, 453, 502 is 1

2. Where do I get the detailed procedure to find GCD of 998, 476, 453, 502?

You can find a detailed procedure to find GCD of 998, 476, 453, 502 on our page.

3. How to find GCD of 998, 476, 453, 502 on a calculator?

You can find the GCD of 998, 476, 453, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.