GCD of 986, 993, 251, 554 Calculator

Given Input numbers are 986, 993, 251, 554

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 986, 993, 251, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 993, 251, 554 is 1.

Therefore, GCD of numbers 986, 993, 251, 554 is 1

Given Input Data is 986, 993, 251, 554

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 993 is 3 x 331

Prime Factorization of 251 is 251

Prime Factorization of 554 is 2 x 277

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(986, 993) = 979098

GCD(986, 993) = ( 986 x 993 ) / 979098

GCD(986, 993) = 979098 / 979098

GCD(986, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 986, 993, 251, 554 is 1

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1. What is the GCD of 986, 993, 251, 554?

GCD of 986, 993, 251, 554 is 1

2. Where do I get the detailed procedure to find GCD of 986, 993, 251, 554?

You can find a detailed procedure to find GCD of 986, 993, 251, 554 on our page.

3. How to find GCD of 986, 993, 251, 554 on a calculator?

You can find the GCD of 986, 993, 251, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.