GCD of 909, 241, 528, 617 Calculator

Given Input numbers are 909, 241, 528, 617

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 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 909, 241, 528, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 241, 528, 617 is 1.

Therefore, GCD of numbers 909, 241, 528, 617 is 1

Given Input Data is 909, 241, 528, 617

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 241 is 241

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

Prime Factorization of 617 is 617

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, 241) = 219069

GCD(909, 241) = ( 909 x 241 ) / 219069

GCD(909, 241) = 219069 / 219069

GCD(909, 241) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 909, 241, 528, 617 is 1

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1. What is the GCD of 909, 241, 528, 617?

GCD of 909, 241, 528, 617 is 1

2. Where do I get the detailed procedure to find GCD of 909, 241, 528, 617?

You can find a detailed procedure to find GCD of 909, 241, 528, 617 on our page.

3. How to find GCD of 909, 241, 528, 617 on a calculator?

You can find the GCD of 909, 241, 528, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.