GCD of 995, 259, 53, 966 Calculator

Given Input numbers are 995, 259, 53, 966

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 995, 259, 53, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 259, 53, 966 is 1.

Therefore, GCD of numbers 995, 259, 53, 966 is 1

Given Input Data is 995, 259, 53, 966

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 259 is 7 x 37

Prime Factorization of 53 is 53

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(995, 259) = 257705

GCD(995, 259) = ( 995 x 259 ) / 257705

GCD(995, 259) = 257705 / 257705

GCD(995, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 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 995, 259, 53, 966 is 1

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1. What is the GCD of 995, 259, 53, 966?

GCD of 995, 259, 53, 966 is 1

2. Where do I get the detailed procedure to find GCD of 995, 259, 53, 966?

You can find a detailed procedure to find GCD of 995, 259, 53, 966 on our page.

3. How to find GCD of 995, 259, 53, 966 on a calculator?

You can find the GCD of 995, 259, 53, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.