GCD of 909, 745, 66, 872 Calculator

Given Input numbers are 909, 745, 66, 872

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 909, 745, 66, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 745, 66, 872 is 1.

Therefore, GCD of numbers 909, 745, 66, 872 is 1

Given Input Data is 909, 745, 66, 872

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 745 is 5 x 149

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(909, 745) = 677205

GCD(909, 745) = ( 909 x 745 ) / 677205

GCD(909, 745) = 677205 / 677205

GCD(909, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 909, 745, 66, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 582, 64, 549
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• GCD of 543, 922, 32, 418

1. What is the GCD of 909, 745, 66, 872?

GCD of 909, 745, 66, 872 is 1

2. Where do I get the detailed procedure to find GCD of 909, 745, 66, 872?

You can find a detailed procedure to find GCD of 909, 745, 66, 872 on our page.

3. How to find GCD of 909, 745, 66, 872 on a calculator?

You can find the GCD of 909, 745, 66, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.