GCD of 44, 966, 265, 507 Calculator

Given Input numbers are 44, 966, 265, 507

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 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 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 44, 966, 265, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 966, 265, 507 is 1.

Therefore, GCD of numbers 44, 966, 265, 507 is 1

Given Input Data is 44, 966, 265, 507

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 265 is 5 x 53

Prime Factorization of 507 is 3 x 13 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(44, 966) = 21252

GCD(44, 966) = ( 44 x 966 ) / 21252

GCD(44, 966) = 42504 / 21252

GCD(44, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 44, 966, 265, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 425, 622, 224
• GCD of 32, 142, 617, 176
• GCD of 48, 638, 709, 214
• GCD of 69, 862, 193, 160
• GCD of 23, 400, 282, 226

1. What is the GCD of 44, 966, 265, 507?

GCD of 44, 966, 265, 507 is 1

2. Where do I get the detailed procedure to find GCD of 44, 966, 265, 507?

You can find a detailed procedure to find GCD of 44, 966, 265, 507 on our page.

3. How to find GCD of 44, 966, 265, 507 on a calculator?

You can find the GCD of 44, 966, 265, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.