GCD of 684, 570, 63, 963 Calculator

Given Input numbers are 684, 570, 63, 963

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 684, 570, 63, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 570, 63, 963 is 3.

Therefore, GCD of numbers 684, 570, 63, 963 is 3

Given Input Data is 684, 570, 63, 963

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 963 is 3 x 3 x 107

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(684, 570) = 3420

GCD(684, 570) = ( 684 x 570 ) / 3420

GCD(684, 570) = 389880 / 3420

GCD(684, 570) = 114

Step2:

Here we consider the GCD from the above i.e. 114 as first number and the next as 63

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

LCM(114, 63) = 2394

GCD(114, 63) = ( 114 x 63 ) / 2394

GCD(114, 63) = 7182 / 2394

GCD(114, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3

GCD of 684, 570, 63, 963 is 3

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1. What is the GCD of 684, 570, 63, 963?

GCD of 684, 570, 63, 963 is 3

2. Where do I get the detailed procedure to find GCD of 684, 570, 63, 963?

You can find a detailed procedure to find GCD of 684, 570, 63, 963 on our page.

3. How to find GCD of 684, 570, 63, 963 on a calculator?

You can find the GCD of 684, 570, 63, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.