GCD of 84, 993, 471, 960 Calculator

Given Input numbers are 84, 993, 471, 960

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 993

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

1, 3, 331, 993

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 84, 993, 471, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 993, 471, 960 is 3.

Therefore, GCD of numbers 84, 993, 471, 960 is 3

Given Input Data is 84, 993, 471, 960

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 993 is 3 x 331

Prime Factorization of 471 is 3 x 157

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(84, 993) = 27804

GCD(84, 993) = ( 84 x 993 ) / 27804

GCD(84, 993) = 83412 / 27804

GCD(84, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

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

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 960

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

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

GCD(3, 960) = 2880 / 960

GCD(3, 960) = 3

GCD of 84, 993, 471, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 270, 447, 490
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• GCD of 29, 531, 137, 633
• GCD of 37, 541, 500, 458
• GCD of 83, 470, 320, 994

1. What is the GCD of 84, 993, 471, 960?

GCD of 84, 993, 471, 960 is 3

2. Where do I get the detailed procedure to find GCD of 84, 993, 471, 960?

You can find a detailed procedure to find GCD of 84, 993, 471, 960 on our page.

3. How to find GCD of 84, 993, 471, 960 on a calculator?

You can find the GCD of 84, 993, 471, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.