GCD of 493, 863, 954, 966 Calculator

Given Input numbers are 493, 863, 954, 966

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 493, 863, 954, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 863, 954, 966 is 1.

Therefore, GCD of numbers 493, 863, 954, 966 is 1

Given Input Data is 493, 863, 954, 966

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 863 is 863

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(493, 863) = 425459

GCD(493, 863) = ( 493 x 863 ) / 425459

GCD(493, 863) = 425459 / 425459

GCD(493, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 493, 863, 954, 966 is 1

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1. What is the GCD of 493, 863, 954, 966?

GCD of 493, 863, 954, 966 is 1

2. Where do I get the detailed procedure to find GCD of 493, 863, 954, 966?

You can find a detailed procedure to find GCD of 493, 863, 954, 966 on our page.

3. How to find GCD of 493, 863, 954, 966 on a calculator?

You can find the GCD of 493, 863, 954, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.