GCD of 998, 533, 314, 437 Calculator

Given Input numbers are 998, 533, 314, 437

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 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 998, 533, 314, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 533, 314, 437 is 1.

Therefore, GCD of numbers 998, 533, 314, 437 is 1

Given Input Data is 998, 533, 314, 437

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 533 is 13 x 41

Prime Factorization of 314 is 2 x 157

Prime Factorization of 437 is 19 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(998, 533) = 531934

GCD(998, 533) = ( 998 x 533 ) / 531934

GCD(998, 533) = 531934 / 531934

GCD(998, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 998, 533, 314, 437 is 1

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• GCD of 328, 769, 199, 847
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• GCD of 941, 528, 362, 800

1. What is the GCD of 998, 533, 314, 437?

GCD of 998, 533, 314, 437 is 1

2. Where do I get the detailed procedure to find GCD of 998, 533, 314, 437?

You can find a detailed procedure to find GCD of 998, 533, 314, 437 on our page.

3. How to find GCD of 998, 533, 314, 437 on a calculator?

You can find the GCD of 998, 533, 314, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.