GCD of 232, 964, 630, 486 Calculator

Given Input numbers are 232, 964, 630, 486

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 232, 964, 630, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 964, 630, 486 is 2.

Therefore, GCD of numbers 232, 964, 630, 486 is 2

Given Input Data is 232, 964, 630, 486

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(232, 964) = 55912

GCD(232, 964) = ( 232 x 964 ) / 55912

GCD(232, 964) = 223648 / 55912

GCD(232, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 630

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

LCM(4, 630) = 1260

GCD(4, 630) = ( 4 x 630 ) / 1260

GCD(4, 630) = 2520 / 1260

GCD(4, 630) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 486

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

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

GCD(2, 486) = 972 / 486

GCD(2, 486) = 2

GCD of 232, 964, 630, 486 is 2

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1. What is the GCD of 232, 964, 630, 486?

GCD of 232, 964, 630, 486 is 2

2. Where do I get the detailed procedure to find GCD of 232, 964, 630, 486?

You can find a detailed procedure to find GCD of 232, 964, 630, 486 on our page.

3. How to find GCD of 232, 964, 630, 486 on a calculator?

You can find the GCD of 232, 964, 630, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.