GCD of 178, 966, 105, 520 Calculator

Given Input numbers are 178, 966, 105, 520

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 178, 966, 105, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 966, 105, 520 is 1.

Therefore, GCD of numbers 178, 966, 105, 520 is 1

Given Input Data is 178, 966, 105, 520

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(178, 966) = 85974

GCD(178, 966) = ( 178 x 966 ) / 85974

GCD(178, 966) = 171948 / 85974

GCD(178, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 178, 966, 105, 520 is 1

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1. What is the GCD of 178, 966, 105, 520?

GCD of 178, 966, 105, 520 is 1

2. Where do I get the detailed procedure to find GCD of 178, 966, 105, 520?

You can find a detailed procedure to find GCD of 178, 966, 105, 520 on our page.

3. How to find GCD of 178, 966, 105, 520 on a calculator?

You can find the GCD of 178, 966, 105, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.