GCD of 295, 880, 16, 966 Calculator

Given Input numbers are 295, 880, 16, 966

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Greatest Common Divisior

We found the divisors of 295, 880, 16, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 880, 16, 966 is 1.

Therefore, GCD of numbers 295, 880, 16, 966 is 1

Given Input Data is 295, 880, 16, 966

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

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(295, 880) = 51920

GCD(295, 880) = ( 295 x 880 ) / 51920

GCD(295, 880) = 259600 / 51920

GCD(295, 880) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 295, 880, 16, 966 is 1

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1. What is the GCD of 295, 880, 16, 966?

GCD of 295, 880, 16, 966 is 1

2. Where do I get the detailed procedure to find GCD of 295, 880, 16, 966?

You can find a detailed procedure to find GCD of 295, 880, 16, 966 on our page.

3. How to find GCD of 295, 880, 16, 966 on a calculator?

You can find the GCD of 295, 880, 16, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.