GCD of 998, 271, 57, 921 Calculator

Given Input numbers are 998, 271, 57, 921

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 998, 271, 57, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 271, 57, 921 is 1.

Therefore, GCD of numbers 998, 271, 57, 921 is 1

Given Input Data is 998, 271, 57, 921

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 271 is 271

Prime Factorization of 57 is 3 x 19

Prime Factorization of 921 is 3 x 307

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, 271) = 270458

GCD(998, 271) = ( 998 x 271 ) / 270458

GCD(998, 271) = 270458 / 270458

GCD(998, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 998, 271, 57, 921 is 1

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• GCD of 335, 516, 52, 359
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1. What is the GCD of 998, 271, 57, 921?

GCD of 998, 271, 57, 921 is 1

2. Where do I get the detailed procedure to find GCD of 998, 271, 57, 921?

You can find a detailed procedure to find GCD of 998, 271, 57, 921 on our page.

3. How to find GCD of 998, 271, 57, 921 on a calculator?

You can find the GCD of 998, 271, 57, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.