GCD of 909, 313, 37, 528 Calculator

Given Input numbers are 909, 313, 37, 528

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 909, 313, 37, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 313, 37, 528 is 1.

Therefore, GCD of numbers 909, 313, 37, 528 is 1

Given Input Data is 909, 313, 37, 528

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 313 is 313

Prime Factorization of 37 is 37

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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, 313) = 284517

GCD(909, 313) = ( 909 x 313 ) / 284517

GCD(909, 313) = 284517 / 284517

GCD(909, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 909, 313, 37, 528 is 1

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1. What is the GCD of 909, 313, 37, 528?

GCD of 909, 313, 37, 528 is 1

2. Where do I get the detailed procedure to find GCD of 909, 313, 37, 528?

You can find a detailed procedure to find GCD of 909, 313, 37, 528 on our page.

3. How to find GCD of 909, 313, 37, 528 on a calculator?

You can find the GCD of 909, 313, 37, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.