GCD of 44, 253, 947, 966 Calculator

Given Input numbers are 44, 253, 947, 966

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 44, 253, 947, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 253, 947, 966 is 1.

Therefore, GCD of numbers 44, 253, 947, 966 is 1

Given Input Data is 44, 253, 947, 966

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 253 is 11 x 23

Prime Factorization of 947 is 947

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(44, 253) = 1012

GCD(44, 253) = ( 44 x 253 ) / 1012

GCD(44, 253) = 11132 / 1012

GCD(44, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 947

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

LCM(11, 947) = 10417

GCD(11, 947) = ( 11 x 947 ) / 10417

GCD(11, 947) = 10417 / 10417

GCD(11, 947) = 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 44, 253, 947, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 243, 196, 226
• GCD of 48, 192, 544, 169
• GCD of 67, 364, 297, 190
• GCD of 31, 908, 223, 587
• GCD of 10, 517, 129, 423

1. What is the GCD of 44, 253, 947, 966?

GCD of 44, 253, 947, 966 is 1

2. Where do I get the detailed procedure to find GCD of 44, 253, 947, 966?

You can find a detailed procedure to find GCD of 44, 253, 947, 966 on our page.

3. How to find GCD of 44, 253, 947, 966 on a calculator?

You can find the GCD of 44, 253, 947, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.