GCD of 363, 177, 494, 964 Calculator

Given Input numbers are 363, 177, 494, 964

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 964

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

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 363, 177, 494, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 177, 494, 964 is 1.

Therefore, GCD of numbers 363, 177, 494, 964 is 1

Given Input Data is 363, 177, 494, 964

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 177 is 3 x 59

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 964 is 2 x 2 x 241

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(363, 177) = 21417

GCD(363, 177) = ( 363 x 177 ) / 21417

GCD(363, 177) = 64251 / 21417

GCD(363, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 494

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

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

GCD(3, 494) = 1482 / 1482

GCD(3, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 363, 177, 494, 964 is 1

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1. What is the GCD of 363, 177, 494, 964?

GCD of 363, 177, 494, 964 is 1

2. Where do I get the detailed procedure to find GCD of 363, 177, 494, 964?

You can find a detailed procedure to find GCD of 363, 177, 494, 964 on our page.

3. How to find GCD of 363, 177, 494, 964 on a calculator?

You can find the GCD of 363, 177, 494, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.