GCD of 956, 508, 14, 555 Calculator

Given Input numbers are 956, 508, 14, 555

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

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 956, 508, 14, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 508, 14, 555 is 1.

Therefore, GCD of numbers 956, 508, 14, 555 is 1

Given Input Data is 956, 508, 14, 555

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 14 is 2 x 7

Prime Factorization of 555 is 3 x 5 x 37

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(956, 508) = 121412

GCD(956, 508) = ( 956 x 508 ) / 121412

GCD(956, 508) = 485648 / 121412

GCD(956, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 555

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

LCM(2, 555) = 1110

GCD(2, 555) = ( 2 x 555 ) / 1110

GCD(2, 555) = 1110 / 1110

GCD(2, 555) = 1

GCD of 956, 508, 14, 555 is 1

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• GCD of 299, 817, 21, 183
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1. What is the GCD of 956, 508, 14, 555?

GCD of 956, 508, 14, 555 is 1

2. Where do I get the detailed procedure to find GCD of 956, 508, 14, 555?

You can find a detailed procedure to find GCD of 956, 508, 14, 555 on our page.

3. How to find GCD of 956, 508, 14, 555 on a calculator?

You can find the GCD of 956, 508, 14, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.