GCD of 986, 982, 961, 268 Calculator

Given Input numbers are 986, 982, 961, 268

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 986, 982, 961, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 982, 961, 268 is 1.

Therefore, GCD of numbers 986, 982, 961, 268 is 1

Given Input Data is 986, 982, 961, 268

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 982 is 2 x 491

Prime Factorization of 961 is 31 x 31

Prime Factorization of 268 is 2 x 2 x 67

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, 982) = 484126

GCD(986, 982) = ( 986 x 982 ) / 484126

GCD(986, 982) = 968252 / 484126

GCD(986, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 986, 982, 961, 268 is 1

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1. What is the GCD of 986, 982, 961, 268?

GCD of 986, 982, 961, 268 is 1

2. Where do I get the detailed procedure to find GCD of 986, 982, 961, 268?

You can find a detailed procedure to find GCD of 986, 982, 961, 268 on our page.

3. How to find GCD of 986, 982, 961, 268 on a calculator?

You can find the GCD of 986, 982, 961, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.