GCD of 180, 956, 348, 963 Calculator

Given Input numbers are 180, 956, 348, 963

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 180, 956, 348, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 956, 348, 963 is 1.

Therefore, GCD of numbers 180, 956, 348, 963 is 1

Given Input Data is 180, 956, 348, 963

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 963 is 3 x 3 x 107

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(180, 956) = 43020

GCD(180, 956) = ( 180 x 956 ) / 43020

GCD(180, 956) = 172080 / 43020

GCD(180, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 348

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

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

GCD(4, 348) = 1392 / 348

GCD(4, 348) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 963

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

LCM(4, 963) = 3852

GCD(4, 963) = ( 4 x 963 ) / 3852

GCD(4, 963) = 3852 / 3852

GCD(4, 963) = 1

GCD of 180, 956, 348, 963 is 1

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1. What is the GCD of 180, 956, 348, 963?

GCD of 180, 956, 348, 963 is 1

2. Where do I get the detailed procedure to find GCD of 180, 956, 348, 963?

You can find a detailed procedure to find GCD of 180, 956, 348, 963 on our page.

3. How to find GCD of 180, 956, 348, 963 on a calculator?

You can find the GCD of 180, 956, 348, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.