GCD of 986, 224, 962, 999 Calculator

Given Input numbers are 986, 224, 962, 999

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 986, 224, 962, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 224, 962, 999 is 1.

Therefore, GCD of numbers 986, 224, 962, 999 is 1

Given Input Data is 986, 224, 962, 999

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 999 is 3 x 3 x 3 x 37

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, 224) = 110432

GCD(986, 224) = ( 986 x 224 ) / 110432

GCD(986, 224) = 220864 / 110432

GCD(986, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 999

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

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

GCD(2, 999) = 1998 / 1998

GCD(2, 999) = 1

GCD of 986, 224, 962, 999 is 1

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1. What is the GCD of 986, 224, 962, 999?

GCD of 986, 224, 962, 999 is 1

2. Where do I get the detailed procedure to find GCD of 986, 224, 962, 999?

You can find a detailed procedure to find GCD of 986, 224, 962, 999 on our page.

3. How to find GCD of 986, 224, 962, 999 on a calculator?

You can find the GCD of 986, 224, 962, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.