GCD of 616, 966, 953, 486 Calculator

Given Input numbers are 616, 966, 953, 486

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 616, 966, 953, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 966, 953, 486 is 1.

Therefore, GCD of numbers 616, 966, 953, 486 is 1

Given Input Data is 616, 966, 953, 486

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 953 is 953

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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(616, 966) = 42504

GCD(616, 966) = ( 616 x 966 ) / 42504

GCD(616, 966) = 595056 / 42504

GCD(616, 966) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 953

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

LCM(14, 953) = 13342

GCD(14, 953) = ( 14 x 953 ) / 13342

GCD(14, 953) = 13342 / 13342

GCD(14, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 616, 966, 953, 486 is 1

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1. What is the GCD of 616, 966, 953, 486?

GCD of 616, 966, 953, 486 is 1

2. Where do I get the detailed procedure to find GCD of 616, 966, 953, 486?

You can find a detailed procedure to find GCD of 616, 966, 953, 486 on our page.

3. How to find GCD of 616, 966, 953, 486 on a calculator?

You can find the GCD of 616, 966, 953, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.