GCD of 998, 580, 987, 257 Calculator

Given Input numbers are 998, 580, 987, 257

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 998, 580, 987, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 580, 987, 257 is 1.

Therefore, GCD of numbers 998, 580, 987, 257 is 1

Given Input Data is 998, 580, 987, 257

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 257 is 257

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, 580) = 289420

GCD(998, 580) = ( 998 x 580 ) / 289420

GCD(998, 580) = 578840 / 289420

GCD(998, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 998, 580, 987, 257 is 1

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1. What is the GCD of 998, 580, 987, 257?

GCD of 998, 580, 987, 257 is 1

2. Where do I get the detailed procedure to find GCD of 998, 580, 987, 257?

You can find a detailed procedure to find GCD of 998, 580, 987, 257 on our page.

3. How to find GCD of 998, 580, 987, 257 on a calculator?

You can find the GCD of 998, 580, 987, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.