GCD of 909, 264, 547, 211 Calculator

Given Input numbers are 909, 264, 547, 211

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 909, 264, 547, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 264, 547, 211 is 1.

Therefore, GCD of numbers 909, 264, 547, 211 is 1

Given Input Data is 909, 264, 547, 211

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 547 is 547

Prime Factorization of 211 is 211

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, 264) = 79992

GCD(909, 264) = ( 909 x 264 ) / 79992

GCD(909, 264) = 239976 / 79992

GCD(909, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 547

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

LCM(3, 547) = 1641

GCD(3, 547) = ( 3 x 547 ) / 1641

GCD(3, 547) = 1641 / 1641

GCD(3, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 909, 264, 547, 211 is 1

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1. What is the GCD of 909, 264, 547, 211?

GCD of 909, 264, 547, 211 is 1

2. Where do I get the detailed procedure to find GCD of 909, 264, 547, 211?

You can find a detailed procedure to find GCD of 909, 264, 547, 211 on our page.

3. How to find GCD of 909, 264, 547, 211 on a calculator?

You can find the GCD of 909, 264, 547, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.