GCD of 966, 993, 453, 285 Calculator

Given Input numbers are 966, 993, 453, 285

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

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 993

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

1, 3, 331, 993

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 966, 993, 453, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 993, 453, 285 is 3.

Therefore, GCD of numbers 966, 993, 453, 285 is 3

Given Input Data is 966, 993, 453, 285

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

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 453 is 3 x 151

Prime Factorization of 285 is 3 x 5 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(966, 993) = 319746

GCD(966, 993) = ( 966 x 993 ) / 319746

GCD(966, 993) = 959238 / 319746

GCD(966, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 453

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

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

GCD(3, 453) = 1359 / 453

GCD(3, 453) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

GCD of 966, 993, 453, 285 is 3

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1. What is the GCD of 966, 993, 453, 285?

GCD of 966, 993, 453, 285 is 3

2. Where do I get the detailed procedure to find GCD of 966, 993, 453, 285?

You can find a detailed procedure to find GCD of 966, 993, 453, 285 on our page.

3. How to find GCD of 966, 993, 453, 285 on a calculator?

You can find the GCD of 966, 993, 453, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.